105-406: Mikhail Gromov or Mikhael Gromov (Russian: Михаи́л Гро́мов ) may refer to: Mikhael Gromov (mathematician) (Mikhail "Misha" Leonidovich Gromov, born 1943) Mikhail Gromov (aviator) (Mikhail Mikhailovich Gromov, 1899–1985) Mikhail Gromov, Russian politician who contested the 2024 Moscow City Duma election [REDACTED] Topics referred to by
210-472: A Riemannian metric contains a closed non-contractible geodesic of length at most C ( n ) Vol ( M ) 1 / n {\displaystyle C(n)\operatorname {Vol} (M)^{1/n}} . In 1981, Gromov introduced the Gromov–Hausdorff metric , which endows the set of all metric spaces with the structure of a metric space. More generally, one can define
315-723: A grandchild of a Jew), the legal right to assisted immigration and settlement in Israel, as well as Israeli citizenship. Someone who "makes aliyah " is called an oleh (m.; pl. olim ) or olah (f.; pl. olot ). Many religious Jews espouse aliyah as a return to the Promised Land , and regard it as the fulfillment of God 's biblical promise to the descendants of the Hebrew patriarchs Abraham , Isaac , and Jacob . Nachmanides (the Ramban) includes making aliyah in his enumeration of
420-613: A higher geographic elevation . The reason is that many Jews in early rabbinic times used to live either in Egypt's Nile Delta and on the plains of Babylonia , which lay relatively low; or somewhere in the Mediterranean Basin , from where they arrived by ship. It is noteworthy that various references in the earlier books of the Bible indicate that Egypt was considered as being "below" other countries, so that going to Egypt
525-491: A major conjecture previously resolved by Schoen and Yau in low dimensions. In 1981, Gromov identified topological restrictions, based upon Betti numbers , on manifolds which admit Riemannian metrics of nonnegative sectional curvature . The principal idea of his work was to combine Karsten Grove and Katsuhiro Shiohama's Morse theory for the Riemannian distance function, with control of the distance function obtained from
630-584: A master's degree in 1965, a doctorate in 1969 and defended his postdoctoral thesis in 1973. His thesis advisor was Vladimir Rokhlin . Gromov married in 1967. In 1970, he was invited to give a presentation at the International Congress of Mathematicians in Nice , France. However, he was not allowed to leave the USSR. Still, his lecture was published in the conference proceedings. Disagreeing with
735-415: A new suburb of Jaffa established in 1909, eventually grew to become the city of Tel Aviv . During this period, some of the underpinnings of an independent nation-state arose: Hebrew , the ancient national language, was revived as a spoken language; newspapers and literature written in Hebrew were published; political parties and workers organizations were established. The First World War effectively ended
840-552: A price of $ 2,500 and later at $ 3,300 per head." A mass emigration was politically undesirable for the Soviet regime. The only acceptable ground was family reunification, and a formal petition ("вызов", vyzov ) from a relative from abroad was required for the processing to begin. Often, the result was a formal refusal . The risks to apply for an exit visa compounded because the entire family had to quit their jobs, which in turn would make them vulnerable to charges of social parasitism ,
945-569: A primary result. As an application of Hodge theory , Peter Li and Yau were able to apply their gradient estimates to find similar Betti number estimates which are weaker than Gromov's but allow the manifold to have convex boundary. In Jeff Cheeger 's fundamental compactness theory for Riemannian manifolds, a key step in constructing coordinates on the limiting space is an injectivity radius estimate for closed manifolds . Cheeger, Gromov, and Michael Taylor localized Cheeger's estimate, showing how to use Bishop−Gromov volume comparison to control
1050-569: A professor of mathematics at New York University . Gromov has won several prizes, including the Abel Prize in 2009 "for his revolutionary contributions to geometry". Mikhail Gromov was born on 23 December 1943 in Boksitogorsk , Soviet Union . His father Leonid Gromov was Russian-Slavic and his mother Lea was of Jewish heritage. Both were pathologists . His mother was the cousin of World Chess Champion Mikhail Botvinnik , as well as of
1155-683: A right to Israeli citizenship, aliyah (returning to Israel) has both a secular and a religious significance. The first modern period of immigration to receive a number in common speech was the Third Aliyah, which in the World War ;I period was referred to as the successor to the First and Second Aliyot from Babylonia in the Biblical period. Reference to earlier modern periods as the First and Second Aliyot appeared first in 1919 and took
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#17327803980201260-638: A sign of approaching redemption and contributed greatly to the messianic spirit of the time. Aliyah was also spurred during this period by the resurgence of messianic fervor among the Jews of France , Italy , the Germanic states , Poland , Russia , and North Africa . The belief in the imminent coming of the Jewish Messiah , the ingathering of the exiles and the re-establishment of the kingdom of Israel encouraged many who had few other options to make
1365-503: A small economy and scant foreign currency reserves, could provide for the immigrants, a strict regime of rationing was put in place. Measures were enacted to ensure that all Israeli citizens had access to adequate food, housing, and clothing. Austerity was very restrictive until 1953; the previous year, Israel had signed a reparations agreement with West Germany , in which the West German government would pay Israel as compensation for
1470-402: A subsequence which converges. This was later reformulated by Gromov and others into the more flexible notion of an ultralimit . Gromov's compactness theorem had a deep impact on the field of geometric group theory . He applied it to understand the asymptotic geometry of the word metric of a group of polynomial growth , by taking the limit of well-chosen rescalings of the metric. By tracking
1575-448: A while to catch on. The pronounced persecution of Russian Jews between 1881 and 1910 led to a large wave of emigration. Since only a small portion of East European Jews had adopted Zionism by then, between 1881 and 1914 only 30–40,000 emigrants went to Ottoman Palestine, while over one and a half million Russian Jews and 300,000 from Austria-Hungary reached Northern America. Between 1882 and 1903, approximately 35,000 Jews immigrated to
1680-493: Is Gromov's compactness theorem , stating that the set of compact Riemannian manifolds with Ricci curvature ≥ c and diameter ≤ D is relatively compact in the Gromov–Hausdorff metric. The possible limit points of sequences of such manifolds are Alexandrov spaces of curvature ≥ c , a class of metric spaces studied in detail by Burago , Gromov and Perelman in 1992. Along with Eliyahu Rips , Gromov introduced
1785-487: Is a Hebrew word meaning "fondness for Zion." They were also called Hovevei Tsiyon or "enthusiasts for Zion" by the members of the groups themselves. While these groups expressed interest and "fondness" for Palestine, they were not strong enough in number to encompass an entire mass movement as would appear later on in other waves of migration. The majority, belonging to the Hovevei Zion and Bilu movements, came from
1890-542: Is characterized as the Pre-Modern Aliyah . Since the birth of Zionism in the late 19th century, the advocates of aliyah have striven to facilitate the settlement of Jewish refugees in Ottoman Palestine , Mandatory Palestine , and the sovereign State of Israel. The periodization of historical waves of Aliyah was first published after the 1917 Balfour Declaration , which created expectations of
1995-530: Is different from Wikidata All article disambiguation pages All disambiguation pages Mikhael Gromov (mathematician) Mikhael Leonidovich Gromov (also Mikhail Gromov , Michael Gromov or Misha Gromov ; Russian: Михаи́л Леони́дович Гро́мов ; born 23 December 1943) is a Russian-French mathematician known for his work in geometry , analysis and group theory . He is a permanent member of Institut des Hautes Études Scientifiques in France and
2100-621: Is in counterpoint to the well-known topological restrictions (such as the Cheeger–Gromoll soul theorem or Cartan–Hadamard theorem ) on geodesically complete Riemannian manifolds of positive or negative curvature. After this initial work, he developed further h-principles partly in collaboration with Yakov Eliashberg , including work building upon Nash and Kuiper's theorem and the Nash–Moser implicit function theorem . There are many applications of his results, including topological conditions for
2205-636: Is the immigration of Jews from the diaspora to, historically, the geographical Land of Israel or the Palestine region , which is today chiefly represented by the State of Israel . Traditionally described as "the act of going up" (towards the Jewish holy city of Jerusalem ), moving to the Land of Israel or "making aliyah" is one of the most basic tenets of Zionism . The opposite action – emigration by Jews from
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#17327803980202310-487: The 613 commandments . Sifre says that the mitzvah (commandment) of living in Eretz Yisrael is as important as all the other mitzvot put together. There are many mitzvot such as shmita , the sabbatical year for farming, which can only be performed in Israel. For generations of religious Jews, aliyah was associated with the coming of the Jewish Messiah . Jews prayed for their Messiah to come, who
2415-610: The Bauhaus style (the White City of Tel Aviv has the highest concentration of International Style architecture in the world with a strong element of Bauhaus) and founded the Palestine Philharmonic Orchestra. With the completion of the port at Haifa and its oil refineries , significant industry was added to the predominantly agricultural economy. The Jewish population reached 450,000 by 1940. At
2520-676: The Bricha of the Holocaust survivors ; the aliyah from elsewhere in the Middle East and North Africa as well as the aliyah from Western and Communist countries following the Six-Day War with the 1968 Polish political crisis , as well as the aliyah from post-Soviet states in the 1990s. Today, most aliyah consists of voluntary migration for ideological, economic, or family reunification purposes. Because Jewish lineage can provide
2625-611: The Byzantine Empire in 1453 and the expulsion of Jews from Spain (1492) and Portugal (1498), many Jews made their way to the Holy Land. Some Ukrainian Jewish refugees fleeing the pogroms of the Khmelnytsky Uprising of the mid-17th century also settled in the Holy Land. Then the immigration in the 18th and early 19th centuries of thousands of followers of various Kabbalist and Hassidic rabbis, as well as
2730-570: The Courant Institute of Mathematical Sciences in New York since 1996. He adopted French citizenship in 1992. Gromov's style of geometry often features a "coarse" or "soft" viewpoint, analyzing asymptotic or large-scale properties. He is also interested in mathematical biology , the structure of the brain and the thinking process, and the way scientific ideas evolve. Motivated by Nash and Kuiper's isometric embedding theorems and
2835-686: The First Aliyah and the Second Aliyah to Ottoman Palestine, followed by the Third , Fourth , and Fifth Aliyah to Mandatory Palestine. Following Ruppin and Jacob Lestschinsky before him, Gurevich's use of the term Aliyah emphasized the ideological element of the immigration, despite the fact that such a motivation was not representative of the immigrants as a whole. Subsequently, named periods include Aliyah Bet (immigration done in spite of restrictive Mandatory law) between 1934 and 1948 and
2940-775: The Histadrut (General Labor Federation); an elected assembly; national council; and the Haganah , the forerunner of the Israel Defense Forces . Between 1924 and 1929, 82,000 Jews arrived, many as a result of increasing anti-Semitism in Poland and throughout Europe. The vast majority of Jewish immigrants arrived from Europe mostly from Poland, the Soviet Union , Romania, and Lithuania, but about 12% came from Asia, mostly Yemen and Iraq. The immigration quotas of
3045-593: The Holocaust , due to Israel's taking in a large number of Holocaust survivors. The resulting influx of foreign capital boosted the Israeli economy and allowed for the relaxing of most restrictions. The remaining austerity measures were gradually phased out throughout the following years. When new immigrants arrived in Israel, they were sprayed with DDT , underwent a medical examination, were inoculated against diseases, and were given food. The earliest immigrants received desirable homes in established urban areas, but most of
3150-778: The Mount of Olives . Kurdish Jews settled in Jerusalem starting around 1895. Between 1904 and 1914, 35–40,000 Jews immigrated to Ottoman Palestine. The vast majority came from the Russian Empire , in particular from the Pale of Settlement in Eastern Europe. Jews from other countries in Eastern Europe such as Romania and Bulgaria also joined. Jewish emigration from Eastern Europe was largely due to pogroms and outbreaks of anti-Semitism there. However, Mountain Jews from
3255-619: The Ottoman Palestine , joining the pre-existing Jewish population which in 1880 numbered 20,000-25,000. The Jews immigrating arrived in groups that had been assembled, or recruited. Most of these groups had been arranged in the areas of Romania and Russia in the 1880s. The migration of Jews from Russia correlates with the end of the Russian pogroms, with about 3 percent of Jews emigrating from Europe to Palestine. The groups who arrived in Palestine around this time were called Hibbat Tsiyon , which
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3360-568: The Russian Empire with a smaller number arriving from Yemen . Many established agricultural communities. Among the towns that these individuals established are Petah Tikva (already in 1878), Rishon LeZion , Rosh Pinna , and Zikhron Ya'akov . In 1882 the Yemenite Jews settled in the Arab village of Silwan located south-east of the walls of the Old City of Jerusalem on the slopes of
3465-525: The Toponogov comparison theorem , together with the Bishop–Gromov inequality on volume of geodesic balls. This resulted in topologically controlled covers of the manifold by geodesic balls, to which spectral sequence arguments could be applied to control the topology of the underlying manifold. The topology of lower bounds on sectional curvature is still not fully understood, and Gromov's work remains as
3570-555: The United States kept Jews out. This group contained many middle-class families that moved to the growing towns, establishing small businesses, and light industry. Of these approximately 23,000 left the country. Between 1929 and 1939, with the rise of Nazism in Germany , a new wave of 250,000 immigrants arrived; the majority of these, 174,000, arrived between 1933 and 1936, after which increasing restrictions on immigration by
3675-533: The heat kernel , although these estimates were later improved by Li and Yau as an application of their gradient estimates. Gromov made foundational contributions to systolic geometry . Systolic geometry studies the relationship between size invariants (such as volume or diameter) of a manifold M and its topologically non-trivial submanifolds (such as non-contractible curves). In his 1983 paper "Filling Riemannian manifolds" Gromov proved that every essential manifold M {\displaystyle M} with
3780-412: The world's Jewish population . The Hebrew word aliyah means "ascent" or "going up". Jewish tradition views traveling to the Land of Israel as an ascent, both geographically and metaphysically. In one opinion, the geographical sense preceded the metaphorical one, as most Jews going on pilgrimage to Jerusalem , which is situated at approximately 750 meters (2,500 feet) above sea level, had to climb to
3885-491: The 1930s and 1940s, Zionist historians began to divide the next periods of immigration to Palestine into different phases, in a form which "created and presumed the unique traits of aliyah and the Zionist enterprise". The currently accepted five-wave periodization was first published in Hebrew by sociologist David Gurevich in his 1944 work The Jewish Population of Palestine: Immigration, Demographic Structure and Natural Growth :
3990-530: The British Mandate, and illegal immigration escalated rapidly as many Holocaust survivors joined the aliyah. After Aliyah Bet, the process of numbering or naming individual aliyot ceased, but immigration did not. A major wave of Jewish immigration, mainly from post-Holocaust Europe and the Arab and Muslim world took place from 1948 to 1951. In three and a half years, the Jewish population of Israel, which
4095-563: The British made immigration clandestine and illegal, called Aliyah Bet . The Fifth Aliyah was again driven almost entirely from Europe, mostly from Central Europe (particularly from Poland , Germany , Austria , and Czechoslovakia ), but also from Greece . Some Jewish immigrants also came from other countries such as Turkey , Iran , and Yemen . The Fifth Aliyah contained large numbers of professionals, doctors, lawyers, and professors, from Germany. Refugee architects and musicians introduced
4200-500: The Caucasus and Jews from other countries including Yemen, Iran , and Argentina also arrived at this time. The Eastern European Jewish immigrants of this period, greatly influenced by socialist ideals, established the first kibbutz , Degania Alef , in 1909 and formed self-defense organizations, such as Hashomer , to counter increasing Arab hostility and to help Jews to protect their communities from Arab marauders. Ahuzat Bayit,
4305-579: The French port of Sète aboard President Warfield (renamed Exodus ). The British turned them back to France from Haifa, and forced them ashore in Hamburg. Despite British efforts to curb the illegal immigration, during the 14 years of its operation, 110,000 Jews immigrated to Palestine. In 1945 reports of the Holocaust with its 6 million Jewish killed, caused many Jews in Palestine to turn openly against
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4410-520: The Gromov-Hausdorff distance between two metric spaces, relative to the choice of a point in each space. Although this does not give a metric on the space of all metric spaces, it is sufficient in order to define "Gromov-Hausdorff convergence" of a sequence of pointed metric spaces to a limit. Gromov formulated an important compactness theorem in this setting, giving a condition under which a sequence of pointed and "proper" metric spaces must have
4515-460: The Hebrews of living in Egypt of being enemies who in time of war might "Fight against us, and so get them up out of the land". Widespread use of the term Aliyah to describe ideologically inspired Jewish immigration to Palestine / Israel is due to Arthur Ruppin 's 1930 work Soziologie der Juden . Aliyah has also been defined, by sociologists such as Aryeh Tartakower , as immigration for
4620-478: The Jewish Agency under which 50,000 German Jews and $ 100 million worth of their assets would be moved to Palestine. The British government limited Jewish immigration to Mandatory Palestine with quotas, and following the rise of Nazism to power in Germany , illegal immigration to Mandatory Palestine commenced. The illegal immigration was known as Aliyah Bet ("secondary immigration"), or Ha'apalah , and
4725-617: The Jewish exiles living in Babylon to their home city of Jerusalem in 459 BC. Even those Jews who did not end up returning gave their children names like Yashuv-Tzadik and Yaeliyahu which testified to their desire to return. Jews returned to the Land of Israel throughout the Second Temple period . Herod the Great also encouraged aliyah and often gave key posts, such as the position of High Priest , to returnees. In late antiquity,
4830-514: The Jewish year 5600, Christian year 1840, a movement documented in Arie Morgenstern's Hastening Redemption . There were also those who like the British mystic Laurence Oliphant tried to lease Northern Palestine to settle the Jews there (1879). Jewish immigration to Palestine began in earnest following the 1839 Tanzimat reforms; between 1840 and 1880, the Jewish population of Palestine rose from 9,000 to 23,000. In Zionist history,
4935-462: The Jews (both of which were regarded as "co-nationals"), their price was "calculated". Ceaușescu, happy with these policies, even declared that " oil , Germans, and Jews are our most important export commodities". Israeli government paid to facilitate aliyah, and around 235,000 people emigrated from Romania to Israel under this agreement. When Romania was under control of Gheorghe Gheorghiu-Dej , he received 10 million dollars per year, and only he had
5040-535: The Land of Israel – is referred to in the Hebrew language as yerida ( lit. ' descent ' ). The Law of Return that was passed by the Israeli parliament in 1950 gives all diaspora Jews, as well as their children and grandchildren, the right to relocate to Israel and acquire Israeli citizenship on the basis of connecting to their Jewish identity . For much of their history , most Jews have lived in
5145-486: The Oka–Grauert theory, which had been introduced in the 1950s. Gromov and Vitali Milman gave a formulation of the concentration of measure phenomena. They defined a "Lévy family" as a sequence of normalized metric measure spaces in which any asymptotically nonvanishing sequence of sets can be metrically thickened to include almost every point. This closely mimics the phenomena of the law of large numbers , and in fact
5250-465: The Soviet system, he had been thinking of emigrating since the age of 14. In the early 1970s he ceased publication, hoping that this would help his application to move to Israel . He changed his last name to that of his mother. He received a coded letter saying that, if he could get out of the Soviet Union, he could go to Stony Brook , where a position had been arranged for him. When the request
5355-668: The United States (especially in New York City and Los Angeles ). The first major wave of aliyah from Ethiopia took place in the mid-1970s. The massive airlift known as Operation Moses began to bring Ethiopian Jews to Israel on November 18, 1984, and ended on January 5, 1985. During those six weeks, some 6,500–8,000 Ethiopian Jews were flown from Sudan to Israel. An estimated 2,000–4,000 Jews died en route to Sudan or in Sudanese refugee camps. In 1991 Operation Solomon
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#17327803980205460-435: The access to the money transferred to the secret account. Israel also bought Romanian goods and invested into Romania's economy. After his death, Ceauşescu practically sold the Jews to Israel, and received between 4,000 and 6,000$ per person. Israel could have transferred nearly 60 million dollars for the aliyah. Another estimation is higher - according to Radu Ioanid , "Ceausescu sold 40,577 Jews to Israel for $ 112,498,800, at
5565-424: The analytical work to extend the harmonic map theory to the metric space setting; this was subsequently done more systematically by Nicholas Korevaar and Schoen, establishing extensions of most of the standard Sobolev space theory. A sample application of Gromov and Schoen's methods is the fact that lattices in the isometry group of the quaternionic hyperbolic space are arithmetic . In 1978, Gromov introduced
5670-491: The beginning of the immigration wave, most of the immigrants to reach Israel were Holocaust survivors from Europe, including many from displaced persons camps in Germany , Austria , and Italy , and from British detention camps on Cyprus . Large sections of shattered Jewish communities throughout Europe, such as those from Poland and Romania also immigrated to Israel, with some communities, such as those from Bulgaria and Yugoslavia , being almost entirely transferred. At
5775-461: The camps received a ration card, an identity card, a mattress, a pair of blankets, and $ 21 to $ 36 in cash. They settled either in established cities and towns, or in kibbutzim and moshavim . Many others stayed in the Ma'abarot as they were gradually turned into permanent cities and towns, which became known as development towns , or were absorbed as neighborhoods of the towns they were attached to, and
5880-702: The class of smooth manifolds which admit Riemannian metrics of positive scalar curvature is topologically rich. In particular, they showed that this class is closed under the operation of connected sum and of surgery in codimension at least three. Their proof used elementary methods of partial differential equations , in particular to do with the Green's function . Gromov and Blaine Lawson gave another proof of Schoen and Yau's results, making use of elementary geometric constructions. They also showed how purely topological results such as Stephen Smale 's h-cobordism theorem could then be applied to draw conclusions such as
5985-526: The core of the Old Yishuv in Jerusalem. This was part of a larger movement of thousands of Jews from countries as widely spaced as Persia and Morocco, Yemen and Russia, who moved to Palestine beginning in the first decade of the nineteenth century – and in even larger numbers after the conquest of the region by Muhammad Ali of Egypt in 1832 – all drawn by the expectation of the arrival of the Messiah in
6090-663: The country. While many have actively chosen to settle in Israel rather than some other country, many had little or no choice about leaving their previous home countries. While Israel is commonly recognized as "a country of immigrants ", it is also, in large measure, a country of refugees , including internal refugees. Israeli citizens who marry individuals of Palestinian heritage, born within the Israeli-occupied territories and carrying Palestinian IDs, must renounce Israeli residency themselves in order to live and travel together with their spouses. The Hebrew Bible relates that
6195-410: The diaspora outside of the Land of Israel due to various historical conflicts that led to their persecution alongside multiple instances of expulsions and exoduses . In the late 19th century, 99.7% of the world's Jews lived outside the region, with Jews representing 2–5% of the population of the Palestine region . Despite its historical value as a national aspiration for the Jewish people , aliyah
6300-517: The different waves of aliyah , beginning with the arrival of the Biluim from Russia in 1882, are categorized by date and the country of origin of the immigrants. In the late 19th century, 99.7% of the world's Jews lived outside the region, with Jews representing 2–5% of the population of the Palestine region . Pre-19th century small-scale return migration of Diaspora Jews to the Land of Israel
6405-740: The disciples of the Vilna Gaon and the disciples of the Chattam Sofer , added considerably to the Jewish populations in Jerusalem , Tiberias , Hebron , and Safed . The messianic dreams of the Gaon of Vilna inspired one of the largest pre-Zionist waves of immigration to Eretz Yisrael. In 1808 hundreds of the Gaon's disciples, known as Perushim , settled in Tiberias and Safed, and later formed
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#17327803980206510-445: The entire Jewish population of Libya left for Israel around this time, and clandestine aliyah from Syria took place, as the Syrian government prohibited Jewish emigration, in a process that was to last decades. Israel also saw significant immigration of Jews from non-Arab Muslim countries such as Iran , Turkey , and Afghanistan in this period. This resulted in a period of austerity . To ensure that Israel, which at that time had
6615-407: The existence of exact Lagrangian immersions and similar objects in symplectic and contact geometry . His well-known book Partial Differential Relations collects most of his work on these problems. Later, he applied his methods to complex geometry , proving certain instances of the Oka principle on deformation of continuous maps to holomorphic maps . His work initiated a renewed study of
6720-489: The fact that every closed and simply-connected smooth manifold of dimension 5, 6, or 7 has a Riemannian metric of positive scalar curvature. They further introduced the new class of enlargeable manifolds , distinguished by a condition in homotopy theory . They showed that Riemannian metrics of positive scalar curvature cannot exist on such manifolds. A particular consequence is that the torus cannot support any Riemannian metric of positive scalar curvature, which had been
6825-541: The founding of the State of Israel, the Jewish Agency for Israel was mandated as the organization responsible for aliyah in the diaspora. From 1948 until the early 1970s, around 900,000 Jews from Arab lands left, fled, or were expelled from various Arab nations, of which an estimated 650,000 settled in Israel. In the course of Operation Magic Carpet (1949–1950), nearly the entire community of Yemenite Jews (about 49,000) immigrated to Israel. Its other name, Operation On Wings of Eagles (Hebrew: כנפי נשרים, Kanfei Nesharim),
6930-407: The good of the community, regardless of the destination. Aliyah is an important Jewish cultural concept and a fundamental component of Zionism . It is enshrined in Israel's Law of Return , which accords any Jew (deemed as such by halakha and/or Israeli secular law ) and eligible non-Jews (a child and a grandchild of a Jew, the spouse of a Jew, the spouse of a child of a Jew and the spouse of
7035-410: The immigrants still living in transit camps. The Israeli government built 260 new settlements and 78,000 housing units to accommodate the immigrants, and by the mid-1950s, almost all were in permanent housing. The last ma'abarot closed in 1963. In the mid-1950s, a smaller wave of immigration began from North African countries such as Morocco , Tunisia , Algeria , and Egypt , many of which were in
7140-405: The immigrants were then sent to transit camps, known initially as immigrant camps , and later as Ma'abarot . Many were also initially housed in reception centers in military barracks. By the end of 1950, some 93,000 immigrants were housed in 62 transit camps. The Israeli government's goal was to get the immigrants out of refugee housing and into society as speedily as possible. Immigrants who left
7245-538: The injectivity radius in absolute terms by curvature bounds and volumes of geodesic balls. Their estimate has been used in a number of places where the construction of coordinates is an important problem. A particularly well-known instance of this is to show that Grigori Perelman 's "noncollapsing theorem" for Ricci flow , which controls volume, is sufficient to allow applications of Richard Hamilton 's compactness theory. Cheeger, Gromov, and Taylor applied their injectivity radius estimate to prove Gaussian control of
7350-601: The law of large numbers can be put into the framework of Lévy families. Gromov and Milman developed the basic theory of Lévy families and identified a number of examples, most importantly coming from sequences of Riemannian manifolds in which the lower bound of the Ricci curvature or the first eigenvalue of the Laplace–Beltrami operator diverge to infinity. They also highlighted a feature of Lévy families in which any sequence of continuous functions must be asymptotically almost constant. These considerations have been taken further by other authors, such as Michel Talagrand . Since
7455-574: The limits of isometries of the word metric, he was able to show that the limiting metric space has unexpected continuities, and in particular that its isometry group is a Lie group . As a consequence he was able to settle the Milnor-Wolf conjecture as posed in the 1960s, which asserts that any such group is virtually nilpotent . Using ultralimits, similar asymptotic structures can be studied for more general metric spaces. Important developments on this topic were given by Bruce Kleiner , Bernhard Leeb, and Pierre Pansu , among others. Another consequence
7560-557: The mathematician Isaak Moiseevich Rabinovich. Gromov was born during World War II , and his mother, who worked as a medical doctor in the Soviet Army, had to leave the front line in order to give birth to him. When Gromov was nine years old, his mother gave him the book The Enjoyment of Mathematics by Hans Rademacher and Otto Toeplitz , a book that piqued his curiosity and had a great influence on him. Gromov studied mathematics at Leningrad State University where he obtained
7665-547: The midst of nationalist struggles. Between 1952 and 1964, some 240,000 North African Jews came to Israel. During this period, smaller but significant numbers arrived from other places such as Europe, Iran , India , and Latin America . In particular, a small immigration wave from then communist Poland , known as the " Gomulka Aliyah", took place during this period. From 1956 to 1960, Poland permitted free Jewish emigration, and some 50,000 Polish Jews immigrated to Israel. Since
7770-409: The monotonicity formula for minimal surfaces , is the " non-squeezing theorem ," which provided a striking qualitative feature of symplectic geometry. Following ideas of Edward Witten , Gromov's work is also fundamental for Gromov-Witten theory , which is a widely studied topic reaching into string theory , algebraic geometry , and symplectic geometry . From a different perspective, Gromov's work
7875-529: The notion of almost flat manifolds . The famous quarter-pinched sphere theorem in Riemannian geometry says that if a complete Riemannian manifold has sectional curvatures which are all sufficiently close to a given positive constant, then M must be finitely covered by a sphere. In contrast, it can be seen by scaling that every closed Riemannian manifold has Riemannian metrics whose sectional curvatures are arbitrarily close to zero. Gromov showed that if
7980-399: The notion of hyperbolic groups . Gromov's theory of pseudoholomorphic curves is one of the foundations of the modern study of symplectic geometry . Although he was not the first to consider pseudo-holomorphic curves, he uncovered a "bubbling" phenomena paralleling Karen Uhlenbeck 's earlier work on Yang–Mills connections , and Uhlenbeck and Jonathan Sack's work on harmonic maps . In
8085-581: The patriarch Abraham came to the Land of Canaan with his family and followers in approximately 1800 BC. His grandson Jacob went down to Egypt with his family, and after several centuries there, the Israelites went back to Canaan under Moses and Joshua , entering it in about 1300 BC. In Zionist historiography, post the Balfour Declaration and the start of the "Third Aliyah", the "First Aliyah" and "Second Aliyah" originally referred to
8190-511: The perilous journey to the land of Israel. Pre-Zionist resettlement in Palestine met with various degrees of success. For example, little is known of the fate of the 1210 "aliyah of the three hundred rabbis" and their descendants. It is thought that few survived the bloody upheavals caused by the Crusader invasion in 1229 and their subsequent expulsion by the Muslims in 1291. After the fall of
8295-535: The period of the Second Aliyah. It is estimated that over half of those who arrived during this period ended up leaving; Ben Gurion stated that nine out of ten left. Between 1919 and 1923, 40,000 Jews, mainly from Eastern Europe arrived in the wake of World War I . The British occupation of Palestine and the establishment of the British Mandate created the conditions for the implementation of
8400-478: The problem of constructing certain symplectomorphisms . They also introduced analogous notions in contact geometry ; the existence of convex contact structures was later studied by Emmanuel Giroux . Books Major articles [REDACTED] Media related to Mikhail Leonidovich Gromov at Wikimedia Commons Aliyah Aliyah ( US : / ˌ æ l i ˈ ɑː / , UK : / ˌ ɑː -/ ; Hebrew : עֲלִיָּה ʿălīyyā , lit. ' ascent ' )
8505-631: The promises contained in the Balfour Declaration . Many of the Jewish immigrants were ideologically driven pioneers, known as halutzim , trained in agriculture and capable of establishing self-sustaining economies. In spite of immigration quotas established by the British administration, the Jewish population reached 90,000 by the end of this period. The Jezreel Valley and the Hefer Plain marshes were drained and converted to agricultural use. Additional national institutions arose such as
8610-568: The results on immersions by Morris Hirsch and Stephen Smale , Gromov introduced the h-principle in various formulations. Modeled upon the special case of the Hirsch–Smale theory, he introduced and developed the general theory of microflexible sheaves , proving that they satisfy an h-principle on open manifolds . As a consequence (among other results) he was able to establish the existence of positively curved and negatively curved Riemannian metrics on any open manifold whatsoever. His result
8715-455: The same term This disambiguation page lists articles about people with the same name. If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Mikhail_Gromov&oldid=1254747397 " Category : Human name disambiguation pages Hidden categories: Articles containing Russian-language text Short description
8820-504: The same time, tensions between Arabs and Jews grew during this period, leading to a series of Arab riots against the Jews in 1929 that left many dead and resulted in the depopulation of the Jewish community in Hebron . This was followed by more violence during the " Great Uprising " of 1936–1939. In response to the ever-increasing tension between the Arabic and Jewish communities married with
8925-517: The same time, the number of Jewish immigrants from Arab countries greatly increased. Special operations were undertaken to evacuate Jewish communities perceived to be in serious danger to Israel, such as Operation Magic Carpet , which evacuated almost the entire Jewish population of Yemen , and Operation Ezra and Nehemiah , which airlifted most of the Jews of Iraq to Israel. Egyptian Jews were smuggled to Israel in Operation Goshen. Nearly
9030-549: The scaling possibility is broken by only considering Riemannian manifolds of a fixed diameter, then a closed manifold admitting such a Riemannian metric, with sectional curvatures sufficiently close to zero, must be finitely covered by a nilmanifold . The proof works by replaying the proofs of the Bieberbach theorem and Margulis lemma . Gromov's proof was given a careful exposition by Peter Buser and Hermann Karcher. In 1979, Richard Schoen and Shing-Tung Yau showed that
9135-535: The seminal 1964 publication of James Eells and Joseph Sampson on harmonic maps , various rigidity phenomena had been deduced from the combination of an existence theorem for harmonic mappings together with a vanishing theorem asserting that (certain) harmonic mappings must be totally geodesic or holomorphic. Gromov had the insight that the extension of this program to the setting of mappings into metric spaces would imply new results on discrete groups , following Margulis superrigidity . Richard Schoen carried out
9240-583: The start of a huge wave of immigration dubbed the "Third Aliyah", in contrast to the Biblical "First Aliyah" and "Second Aliyah" " returns to Zion " described in Ezra–Nehemiah . Over the next two years, discussion in Zionist literature transformed the two prior to refer to the contemporary immigration waves at the end of the 19th century and the early 20th. These periods as per the modern convention were first published in October 1919 by Yosef Haim Brenner . In
9345-404: The time since Sacks, Uhlenbeck, and Gromov's work, such bubbling phenomena has been found in a number of other geometric contexts. The corresponding compactness theorem encoding the bubbling allowed Gromov to arrive at a number of analytically deep conclusions on existence of pseudo-holomorphic curves. A particularly famous result of Gromov's, arrived at as a consequence of the existence theory and
9450-431: The tin dwellings were replaced with permanent housing. In the early 1950s, the immigration wave subsided, and emigration increased; ultimately, some 10% of the immigrants would leave Israel for other countries in the following years. In 1953, immigration to Israel averaged 1,200 a month, while emigration averaged 700 a month. The end of the period of mass immigration gave Israel a critical opportunity to more rapidly absorb
9555-601: The two Biblical " returns to Zion " described in Ezra–Nehemiah – the "First Aliya" led by Zerubbabel , and the "Second Aliya" led by Ezra and Nehemiah approximately 80 years later. A few decades after the fall of the Kingdom of Judah and the Babylonian exile of the Jewish people, approximately 50,000 Jews returned to Zion following the Cyrus Declaration from 538 BC. The Jewish priestly scribe Ezra led
9660-611: The two hubs of rabbinic learning were Babylonia and the land of Israel . Throughout the Amoraic period, many Babylonian Jews immigrated to the land of Israel and left their mark on life there, as rabbis and leaders. In the 10th century, leaders of the Karaite Jewish community, mostly living under Persian rule, urged their followers to settle in Eretz Yisrael. The Karaites established their own quarter in Jerusalem , on
9765-624: The various commitments the British faced at the dawn of World War II, the British issued the White Paper of 1939 , which severely restricted Jewish immigration to 75,000 people for five years. This served to create a relatively peaceful eight years in Palestine while the Holocaust unfolded in Europe. Shortly after their rise to power, the Nazis negotiated the Ha'avara or "Transfer" Agreement with
9870-633: The war ended. Romanian Jews were, under their own will, "sold" or "exchanged" to Israel in the 1950s with the help of the American Jewish Joint Distribution Committee for about 8,000 lei (about 420 dollars ). The price of these Jews usually varied according to their "worth". This practice continued at a slower pace from 1965 under Nicolae Ceaușescu , a Romanian communist leader. During the 1950s, West Germany had been also paying Romania an amount of money in exchange for some Germans of Romania , and, just like
9975-757: The western slope of the Kidron Valley . During this period, there is abundant evidence of pilgrimages to Jerusalem by Jews from various countries, mainly in the month of Tishrei , around the time of the Sukkot holiday. The number of Jews migrating to the land of Israel rose significantly between the 13th and 19th centuries, mainly due to a general decline in the status of Jews across Europe and an increase in religious persecution . The expulsion of Jews from England (1290), France (1391), Austria (1421), and Spain (the Alhambra decree of 1492) were seen by many as
10080-446: Was 650,000 at the state's founding, was more than doubled by an influx of about 688,000 immigrants. In 1949, the largest-ever number of Jewish immigrants in a single year - 249,954 - arrived in Israel. This period of immigration is often termed kibbutz galuyot (literally, ingathering of exiles), due to the large number of Jewish diaspora communities that made aliyah. However, kibbutz galuyot can also refer to aliyah in general. At
10185-589: Was acted upon by few prior to the rise of a national awakening among Jews worldwide and the subsequent development of the Zionist movement in the late 19th century; the large-scale immigration of Jews to Palestine had consequently begun by 1882. Since the Israeli Declaration of Independence in 1948, more than 3 million Jews have made aliyah. As of 2014 , Israel and the Israeli-occupied territories contain approximately 42.9 percent of
10290-429: Was also inspirational for much of Andreas Floer 's work. Yakov Eliashberg and Gromov developed some of the basic theory for symplectic notions of convexity. They introduce various specific notions of convexity, all of which are concerned with the existence of one-parameter families of diffeomorphisms which contract the symplectic form. They show that convexity is an appropriate context for an h-principle to hold for
10395-457: Was described as "going down to Egypt" while going away from Egypt (including Hebrews going out of Egypt to Canaan) was "going up out of Egypt". Thus, in the Book of Genesis 46 God speaks to Jacob and says “Do not be afraid to go down to Egypt, for I will make you into a great nation there. I will go down to Egypt with you." And in the Book of Exodus 1, the oppressive new King of Egypt suspects
10500-517: Was granted in 1974, he moved directly to New York and worked at Stony Brook. In 1981 he left Stony Brook University to join the faculty of University of Paris VI and in 1982 he became a permanent professor at the Institut des Hautes Études Scientifiques where he remains today. At the same time, he has held professorships at the University of Maryland, College Park from 1991 to 1996, and at
10605-585: Was inspired by Following the establishment of Israel, about one-third of Iranian Jews , most of them poor, immigrated to Israel, and immigration from Iran continued throughout the following decades. An estimated 70,000 Iranian Jews immigrated to Israel between 1948 and 1978. Following the Islamic Revolution in 1979, most of the Iranian Jewish community left, with some 20,000 Iranian Jews immigrating to Israel. Many Iranian Jews also settled in
10710-533: Was launched to bring the Beta Israel Jews of Ethiopia . In one day, May 24, 34 aircraft landed at Addis Ababa and brought 14,325 Jews from Ethiopia to Israel . Since that time, Ethiopian Jews have continued to immigrate to Israel bringing the number of Ethiopian-Israelis today to over 100,000. After the war, Romania had second-largest Jewish population in Europe, of around 350,000 or higher. In 1949, 118,939 Romanian Jews had emigrated to Israel since
10815-536: Was organized by the Mossad Le'aliyah Bet , as well as by the Irgun . Immigration was done mainly by sea, and to a lesser extent overland through Iraq and Syria . During World War II and the years that followed until independence, Aliyah Bet became the main form of Jewish immigration to Mandatory Palestine. Following the war, Bricha ("escape"), an organization of former partisans and ghetto fighters
10920-631: Was primarily responsible for smuggling Jews from Eastern Europe through Poland. In 1946 Poland was the only Eastern Bloc country to allow free Jewish aliyah to Mandate Palestine without visas or exit permits. By contrast, Stalin forcibly brought Soviet Jews back to USSR, as agreed by the Allies during the Yalta Conference . The refugees were sent to the Italian ports from which they traveled to Mandatory Palestine. More than 4,500 survivors left
11025-554: Was to redeem the "Land of Israel" ( Eretz Yisrael , commonly known in English as the region of Palestine ) from gentile rule and return world Jewry to the land under a Halachic theocracy . In Zionist discourse, the term aliyah (plural aliyot ) includes both voluntary immigration for ideological, emotional, or practical reasons and, on the other hand, mass flight of persecuted populations of Jews. The vast majority of Israeli Jews today trace their family's recent roots to outside
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