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Paulette Libermann
Paulette Libermann (14 November 1919 – 10 July 2007) was a French mathematician, specializing in differential geometry. Early life and education Libermann was one of three sisters born to a family of Russian-Ukrainian Yiddish-speaking Jewish immigrants to Paris. After attending the Lycée Lamartine, she began her university studies in 1938 at the École normale supérieure de jeunes filles, a college in Sèvres for training women to become school teachers. Due to the reforms of the new director Eugénie Cotton, who wanted her school to be at the same level of École Normale Supérieure, Libermann benefited from being taught by leading mathematicians as Élie Cartan, Jacqueline Ferrand and André Lichnerowicz.. Two years later, upon completion of her studies, she was prevented from taking the agrégation and becoming a teacher because of the anti-Jewish laws instituted by the German occupation. However, thanks to a scholarship provided by Cotton, she began doing research u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paris
Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, fashion, gastronomy, and science. For its leading role in the arts and sciences, as well as its very early system of street lighting, in the 19th century it became known as "the City of Light". Like London, prior to the Second World War, it was also sometimes called the capital of the world. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an estimated population of 12,262,544 in 2019, or about 19% of the population of France, making the region France's primate city. The Paris Region had a GDP of €739 billion ($743 billion) in 2019, which is the highest in Europe. According to the Economist Intelli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
André Lichnerowicz
André Lichnerowicz (January 21, 1915, Bourbon-l'Archambault – December 11, 1998, Paris) was a noted France, French Differential geometry and topology, differential geometer and Mathematical physics, mathematical physicist of Poland, Polish descent. He is considered the founder of modern Poisson geometry. Biography His grandfather Jan fought in the Polish resistance against the Prussians. Forced to flee Poland in 1860, he finally settled in France, where he married a woman from Auvergne (province), Auvergne, Justine Faure. Lichnerowicz's father, Jean, held agrégation in classics and was secretary of the Alliance française, while his mother, a descendant of paper makers, was one of the first women to earn the agrégation in mathematics. Lichnerowicz's paternal aunt, Jeanne, was a novelist and translator known under the pseudonym . André attended the Lycée Louis-le-Grand and then the École Normale Supérieure in Paris, gaining agrégation in 1936. After two years, he entered ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
G-structure On A Manifold
In differential geometry, a ''G''-structure on an ''n''-manifold ''M'', for a given structure group ''G'', is a principal ''G''-subbundle of the tangent frame bundle F''M'' (or GL(''M'')) of ''M''. The notion of ''G''-structures includes various classical structures that can be defined on manifolds, which in some cases are tensor fields. For example, for the orthogonal group, an O(''n'')-structure defines a Riemannian metric, and for the special linear group an SL(''n'',R)-structure is the same as a volume form. For the trivial group, an -structure consists of an absolute parallelism of the manifold. Generalising this idea to arbitrary principal bundles on topological spaces, one can ask if a principal G-bundle over a group G "comes from" a subgroup H of G. This is called reduction of the structure group (to H). Several structures on manifolds, such as a complex structure, a symplectic structure, or a Kähler structure, are ''G''-structures with an additional integrability con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Global Analysis
In mathematics, global analysis, also called analysis on manifolds, is the study of the global and topological properties of differential equations on manifolds and vector bundles. Global analysis uses techniques in infinite-dimensional manifold theory and topological spaces of mappings to classify behaviors of differential equations, particularly nonlinear differential equations. These spaces can include singularities and hence catastrophe theory is a part of global analysis. Optimization problems, such as finding geodesics on Riemannian manifolds, can be solved using differential equations so that the calculus of variations overlaps with global analysis. Global analysis finds application in physics in the study of dynamical systems and topological quantum field theory. Journals * Annals of Global Analysis and Geometry * The Journal of Geometric Analysis See also * Atiyah–Singer index theorem * Geometric analysis * Lie groupoid * Pseudogroup * Morse theory * Structur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Paris
, image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and anywhere on Earth , established = Founded: c. 1150Suppressed: 1793Faculties reestablished: 1806University reestablished: 1896Divided: 1970 , type = Corporative then public university , city = Paris , country = France , campus = Urban The University of Paris (french: link=no, Université de Paris), metonymically known as the Sorbonne (), was the leading university in Paris, France, active from 1150 to 1970, with the exception between 1793 and 1806 under the French Revolution. Emerging around 1150 as a corporation associated with the cathedral school of Notre Dame de Paris, it was considered the second-oldest university in Europe. Haskins, C. H.: ''The Rise of Universities'', Henry Holt and Company, 1923, p. 292. Officially chartered i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Rennes
The University of Rennes is a public research university which will be officially reconstituted on 1 January 2023 and located in the city of Rennes, in Upper Brittany, France. The University of Rennes has been divided for almost 50 years, before its upcoming re-foundation in January. It was established by the union of the 3 faculties of the city (Law, Arts and Science) in 1885. History The Duke's University of Brittany The beginnings of the university in Nantes The Duke's University of Brittany was founded by Bertrand Milon on 4 April 1460, on the initiative of Duke Francis II of Brittany, by a papal bull from Pope Pius II, given in Siena. This embodied Francis II's wish to assert his independence from the King of France, while universities were being opened on the outskirts of the duchy in Angers in 1432, Poitiers in 1432 and Bordeaux in 1441. Created in the form of a ''studium generale'', this university could teach all the traditional disciplines: Arts, Theology, Law ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centre National De La Recherche Scientifique
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science Basic research, also called pure research or fundamental research, is a type of scientific research with the aim of improving scientific theories for better understanding and prediction of natural or other phenomena. In contrast, applied resear ... agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 engineers and technical staff, and 7,085 contractual workers. It is headquartered in Paris and has administrative offices in Brussels, Beijing, Tokyo, Singapore, Washington, D.C., Bonn, Moscow, Tunis, Johannesburg, Santiago de Chile, Israel, and New Delhi. From 2009 to 2016, the CNRS was ranked No. 1 worldwide by the SCImago Institutions Rankings, SCImago Institutions Rankings (SIR), an international ranking of research-focused institutio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Strasbourg
Strasbourg (, , ; german: Straßburg ; gsw, label=Bas Rhin Alsatian, Strossburi , gsw, label=Haut Rhin Alsatian, Strossburig ) is the prefecture and largest city of the Grand Est region of eastern France and the official seat of the European Parliament. Located at the border with Germany in the historic region of Alsace, it is the prefecture of the Bas-Rhin department. In 2019, the city proper had 287,228 inhabitants and both the Eurométropole de Strasbourg (Greater Strasbourg) and the Arrondissement of Strasbourg had 505,272 inhabitants. Strasbourg's metropolitan area had a population of 846,450 in 2018, making it the eighth-largest metro area in France and home to 14% of the Grand Est region's inhabitants. The transnational Eurodistrict Strasbourg-Ortenau had a population of 958,421 inhabitants. Strasbourg is one of the ''de facto'' four main capitals of the European Union (alongside Brussels, Luxembourg and Frankfurt), as it is the seat of several European insti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Oxford
, mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor = The Lord Patten of Barnes , vice_chancellor = Louise Richardson , students = 24,515 (2019) , undergrad = 11,955 , postgrad = 12,010 , other = 541 (2017) , city = Oxford , country = England , coordinates = , campus_type = University town , athletics_affiliations = Blue (university sport) , logo_size = 250px , website = , logo = University of Oxford.svg , colours = Oxford Blue , faculty = 6,995 (2020) , academic_affiliations = , The University of Oxford is a collegiate research university in Oxf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Douai
Douai (, , ,; pcd, Doï; nl, Dowaai; formerly spelled Douay or Doway in English) is a city in the Nord département in northern France. It is a sub-prefecture of the department. Located on the river Scarpe some from Lille and from Arras, Douai is home to one of the region's most impressive belfries. History Its site probably corresponds to that of a 4th-century Roman fortress known as Duacum. From the 10th century, the town was a romance fiefdom of the counts of Flanders. The town became a flourishing textile market centre during the Middle Ages, historically known as Douay or Doway in English. In 1384, the county of Flanders passed into the domains of the Dukes of Burgundy and thence in 1477 into Habsburg possessions. In 1667, Douai was taken by the troops of Louis XIV of France, and by the 1668 Treaty of Aix-la-Chapelle, the town was ceded to France. During successive sieges from 1710 to 1712, Douai was almost completely destroyed by the British Army. By 1713, the town ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liberation Of Paris
The liberation of Paris (french: Libération de Paris) was a military battle that took place during World War II from 19 August 1944 until the German garrison surrendered the French capital on 25 August 1944. Paris had been occupied by Nazi Germany since the signing of the Second Compiègne Armistice on 22 June 1940, after which the ''Wehrmacht'' occupied northern and western France. The liberation began when the French Forces of the Interior—the military structure of the French Resistance—staged an uprising against the German garrison upon the approach of the US Third Army, led by General George Patton. On the night of 24 August, elements of General Philippe Leclerc's 2nd French Armored Division made their way into Paris and arrived at the Hôtel de Ville shortly before midnight. The next morning, 25 August, the bulk of the 2nd Armored Division and US 4th Infantry Division and other allied units entered the city. Dietrich von Choltitz, commander of the German garrison ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klaus Barbie
Nikolaus "Klaus" Barbie (25 October 1913 – 25 September 1991) was a German operative of the SS and SD who worked in Vichy France during World War II. He became known as the "Butcher of Lyon" for having personally tortured prisoners—primarily Jews and members of the French Resistance—as the head of the Gestapo in Lyon. After the war, United States intelligence services, which employed him for his anti-communist efforts, aided his escape to Bolivia, where he advised the regime on how to repress opposition through torture. The United States later offered France a formal apology for aiding Barbie's escape from an outstanding arrest warrant. In Bolivia, West German Intelligence Service recruited him. Barbie is suspected of having had a role in the Bolivian coup d'état orchestrated by Luis García Meza in 1980. After the fall of the dictatorship, Barbie no longer had the protection of the government in La Paz. In 1983, he was extradited to France, where he was convicted of c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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