WorldCat Identities

Cartan, Elie 1869-1951

Overview
Works: 288 works in 856 publications in 6 languages and 8,627 library holdings
Genres: Records and correspondence  Bibliography  Conference proceedings 
Roles: Director, Author of introduction, Honoree, Editor, Other
Classifications: QA649, 516.373
Publication Timeline
Key
Publications about  Elie Cartan Publications about Elie Cartan
Publications by  Elie Cartan Publications by Elie Cartan
posthumous Publications by Elie Cartan, published posthumously.
Most widely held works about Elie Cartan
 
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Most widely held works by Elie Cartan
Riemannian geometry in an orthogonal frame from lectures delivered by Élie Cartan at the Sorbonne in 1926-27 by Elie Cartan ( )
17 editions published in 2001 in English and held by 1,055 WorldCat member libraries worldwide
Elie Cartan's book "Geometry of Riemannian Manifolds" (1928) was one of the best introductions to his methods. It was based on lectures given by the author at the Sorbonne in the academic year 1925-26. A modernized and extensively augmented edition appeared in 1946 (2nd printing, 1951; 3rd printing, 1988). Cartan's lectures in 1926-27 were different - he introduced exterior forms at the very beginning and used 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. The lectures were translated into Russian in the book "Riemannian Geometry in an Orthogonal Frame" (1960). 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 fibre bundle of a submanifold, and so on. This book was available neither in English nor in French. 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 edited the Russian edition
The theory of spinors by Elie Cartan ( Book )
33 editions published between 1960 and 1981 in English and held by 814 WorldCat member libraries worldwide
Leçons sur la géométrie des espaces de Riemann by Elie Cartan ( Book )
49 editions published between 1925 and 1988 in 3 languages and held by 578 WorldCat member libraries worldwide
Œuvres complètes by Elie Cartan ( Book )
42 editions published between 1952 and 1984 in 4 languages and held by 406 WorldCat member libraries worldwide
Leçons sur les invariants intégraux by Elie Cartan ( Book )
38 editions published between 1922 and 1971 in 3 languages and held by 385 WorldCat member libraries worldwide
Leçons sur la géométrie projective complexe by Elie Cartan ( Book )
22 editions published between 1931 and 1992 in French and English and held by 336 WorldCat member libraries worldwide
Les systèmes differentiels extérieurs et leur applications géométriques by Elie Cartan ( Book )
23 editions published between 1945 and 1971 in French and English and held by 317 WorldCat member libraries worldwide
La théorie des groupes finis et continus et la géométrie différentielle, traitées par la méthode du repère mobile by Elie Cartan ( Book )
24 editions published between 1937 and 1957 in French and held by 303 WorldCat member libraries worldwide
Leçons sur la théorie des espaces à connexion projective by Elie Cartan ( Book )
12 editions published between 1937 and 1957 in French and English and held by 254 WorldCat member libraries worldwide
Geometry of Riemannian spaces by Elie Cartan ( Book )
7 editions published in 1983 in English and held by 240 WorldCat member libraries worldwide
Les espaces de Finsler by Elie Cartan ( Book )
9 editions published in 1934 in French and held by 181 WorldCat member libraries worldwide
Les espaces métriques fondés la notion d'aire by Elie Cartan ( Book )
13 editions published between 1932 and 1933 in French and held by 170 WorldCat member libraries worldwide
La topologie des groupes de Lie by Elie Cartan ( Book )
12 editions published in 1936 in French and Undetermined and held by 169 WorldCat member libraries worldwide
La théorie des groupes finis et continus et l'analysis situs by Elie Cartan ( Book )
18 editions published between 1930 and 1952 in French and English and held by 160 WorldCat member libraries worldwide
On manifolds with an affine connection and the theory of general relativity by Elie Cartan ( Book )
7 editions published in 1986 in English and held by 146 WorldCat member libraries worldwide
La méthode du repère mobile, la théorie des groupes continus et les espaces généralisés by Elie Cartan ( Book )
12 editions published in 1935 in French and Undetermined and held by 146 WorldCat member libraries worldwide
Leçons sur la théorie des spineurs ... by Elie Cartan ( Book )
12 editions published in 1938 in French and held by 132 WorldCat member libraries worldwide
La géométrie des espaces de Riemann by Elie Cartan ( Book )
8 editions published between 1925 and 1951 in French and Undetermined and held by 125 WorldCat member libraries worldwide
Le parallélisme absolu et la théorie unitaire du champ by Elie Cartan ( Book )
8 editions published between 1932 and 1997 in French and held by 122 WorldCat member libraries worldwide
Exposés de géométrie by Elie Cartan ( Book )
9 editions published in 1971 in French and English and held by 105 WorldCat member libraries worldwide
 
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Audience Level
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Audience Level
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Audience level: 0.78 (from 0.00 for Elie Carta ... to 1.00 for The classi ...)
Alternative Names
Cartan, E.
Cartan, É. 1869-1951
Cartan, E. (Elie), 1869-1951
Cartan, Elie.
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
Kartan, È.
Kartan, Èli.
Kartan, Ėli, 1869-1951
カルタン, エリー
Languages
French (318)
English (90)
German (4)
Italian (1)
Russian (1)
Germanic (1)
Covers