WorldCat Identities

Cartan, Elie 1869-1951

Overview
Works: 302 works in 1,214 publications in 7 languages and 10,080 library holdings
Genres: Records and correspondence  Bibliography  Conference papers and proceedings 
Roles: Author, Director, Author of introduction, Collector, Honoree, Editor, Other, Contributor
Classifications: QA433, 516.83
Publication Timeline
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Most widely held works about Elie Cartan
 
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Most widely held works by Elie Cartan
The theory of spinors by Elie Cartan( Book )

45 editions published between 1947 and 2012 in English and Russian and held by 838 WorldCat member libraries worldwide

Leçons sur la géométrie des espaces de Riemann by Elie Cartan( Book )

78 editions published between 1921 and 1988 in 4 languages and held by 629 WorldCat member libraries worldwide

Leçons sur les invariants intégraux by Elie Cartan( Book )

59 editions published between 1922 and 2005 in 5 languages and held by 429 WorldCat member libraries worldwide

Les systèmes differentiels extérieurs et leur applications géométriques by Elie Cartan( Book )

39 editions published between 1945 and 1971 in French and English and held by 351 WorldCat member libraries worldwide

La théorie des groupes finis et continus et la géométrie différentielle, traitées par la méthode du repere mobile. Leçons professées à la Sorbonne by Elie Cartan( Book )

45 editions published between 1937 and 1963 in 3 languages and held by 346 WorldCat member libraries worldwide

Leçons sur la géométrie projective complexe by Elie Cartan( Book )

32 editions published between 1931 and 1950 in 3 languages and held by 339 WorldCat member libraries worldwide

Leçons sur la théorie des espaces à connexion projective by Elie Cartan( Book )

20 editions published between 1937 and 1957 in 3 languages and held by 272 WorldCat member libraries worldwide

Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927 by Elie Cartan( Book )

24 editions published in 2001 in 3 languages and held by 259 WorldCat member libraries worldwide

In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics. In 1960, Sergei P. Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal Frame. This book has many innovations, such as the notion of intrinsic normal differentiation and the Gaussian torsion of a submanifold in a Euclidean multidimensional space or in a space of constant curvature, an affine connection defined in a normal fiber bundle of a submanifold, etc. It has now been translated into English by Vladislav V. Goldberg, currently Distinguished Professor of Mathematics at the New Jersey Institute of Technology, USA, who also edited the Russian edition
Geometry of Riemannian spaces by Elie Cartan( Book )

8 editions published in 1983 in English and held by 242 WorldCat member libraries worldwide

Leçons sur la théorie des spineurs ... by Elie Cartan( Book )

39 editions published between 1938 and 1939 in French and English and held by 236 WorldCat member libraries worldwide

Œuvres complètes by Elie Cartan( Book )

in French and held by 205 WorldCat member libraries worldwide

Les espaces de Finsler by Elie Cartan( Book )

15 editions published in 1934 in French and held by 201 WorldCat member libraries worldwide

La topologie des groupes de Lie by Elie Cartan( Book )

18 editions published in 1936 in French and held by 190 WorldCat member libraries worldwide

La théorie des groupes finis et continus et l'analysis situs by Elie Cartan( Book )

21 editions published between 1929 and 1952 in French and Undetermined and held by 172 WorldCat member libraries worldwide

La méthode du repère mobile, la théorie des groupes continus et les espaces généralisés by Elie Cartan( Book )

21 editions published between 1933 and 1935 in French and held by 169 WorldCat member libraries worldwide

On manifolds with an affine connection and the theory of general relativity by Elie Cartan( Book )

8 editions published in 1986 in English and held by 151 WorldCat member libraries worldwide

Le parallélisme absolu et la théorie unitaire du champ by Elie Cartan( Book )

12 editions published between 1932 and 1997 in French and held by 138 WorldCat member libraries worldwide

La géométrie des espaces de Riemann by Elie Cartan( Book )

13 editions published between 1925 and 1951 in French and Undetermined and held by 137 WorldCat member libraries worldwide

Exposés de géométrie by Elie Cartan( Book )

18 editions published in 1971 in 3 languages and held by 134 WorldCat member libraries worldwide

Selecta; jubilé scientifique by Elie Cartan( Book )

16 editions published in 1939 in French and Undetermined and held by 134 WorldCat member libraries worldwide

 
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Audience level: 0.68 (from 0.06 for Riemannian ... to 0.88 for Elie Carta ...)

Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927
Alternative Names
Cartan, E.

Cartan É. 1869-1951

Cartan, E. (Elie), 1869-1951

Cartan, Élie

Cartan, Élie 1869-1951

Cartan, Élie J. 1869-1951

Cartan, Élie Joseph

Cartan, Elie Joseph 1869-

Cartan, Élie Joseph 1869-1951

Cartan, M. É., 1869-1951

Élie Cartan Frans wiskundige

Élie Cartan fransk matematikar

Élie Cartan fransk matematiker

Élie Cartan französischer Mathematiker, der Beiträge zur Theorie der Lie-Gruppen und ihrer Anwendungen lieferte

Élie Cartan French mathematician

Élie Joseph Cartan matematico francese

Elie Kartan

Kartan, È.

Kartan, Ėli

Kartan, Ėli 1869-1951

Елі Жозеф Картан

Картан, Э..

Картан Э. 1869-1951

Картан Э.Д. 1869-1951

Картан, Эли.

Эли Картан

Էլի Ժոսեֆ Կարտան

אלי קרטן

الی کارتان ریاضی‌دان فرانسوی

إيلي كارتن

এলি কারতঁ

엘리 카르탕

エリ・カルタン

カルタン, エリー

埃利·嘉当

Languages
French (447)

English (116)

Russian (9)

Japanese (4)

Italian (3)

Swedish (2)

German (1)

Covers
Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927