Cartan, Elie 18691951
Overview
Works:  220 works in 1,146 publications in 8 languages and 9,849 library holdings 

Genres:  Records and correspondence Conference papers and proceedings Bibliography 
Roles:  Author, Director, Author of introduction, Collector, Honoree, Editor, Other, Contributor 
Classifications:  QA433, 513.8 
Publication Timeline
.
Most widely held works about
Elie Cartan
 Elie CartanAlbert Einstein : letters on absolute parallelism, 19291932 by Elie Cartan( Book )
 Elie Cartan (18691951) by M. A Akivis( Book )
 Le parallélisme absolu et la théorie unitaire du champ by Elie Cartan( Book )
 Élie Cartan et les mathématiques d'aujourd'hui, Lyon, 2529 juin 1984 : the mathematical heritage of Elie Cartan by Lyon> Séminaire Élie Cartan et les Mathématiques d'Aujourd'hui. <1984( Book )
 Contributions to the study of the equivalence problem of Élie Cartan and its applications to partial and ordinary differential equations by Niky Kamran( Book )
 E. Cartan's theory of exterior differential systems by Robert Hermann( Book )
 The classification of complex simple continuous transitive infinite pseudogroups according to E. Cartan by Masatake Kuranishi( Book )
 Élie Cartan, 18691951 : hommage de l'Académie de la République Socialiste de Roumanie à l'occasion du centenaire de sa naissance by Elie Cartan( Book )
 Anisotropic cosmology in einsteincartan theory by Kwokhing, Albert Kong( Book )
 Contributo alla teoria delle connessioni by Václav Hlavatý( Book )
 Representations of group schemes of Cartan type by William Philip Abrams( )
more
fewer
Most widely held works by
Elie Cartan
The theory of spinors by
Elie Cartan(
Book
)
86 editions published between 1938 and 2012 in 3 languages and held by 1,072 WorldCat member libraries worldwide
86 editions published between 1938 and 2012 in 3 languages and held by 1,072 WorldCat member libraries worldwide
Leçons sur la géométrie des espaces de Riemann by
Elie Cartan(
Book
)
88 editions published between 1921 and 1988 in 4 languages and held by 761 WorldCat member libraries worldwide
88 editions published between 1921 and 1988 in 4 languages and held by 761 WorldCat member libraries worldwide
Leçons sur la théorie des espaces à connexion projective by
Elie Cartan(
Book
)
75 editions published between 1937 and 1992 in 5 languages and held by 665 WorldCat member libraries worldwide
75 editions published between 1937 and 1992 in 5 languages and held by 665 WorldCat member libraries worldwide
Leçons sur les invariants intégraux by
Elie Cartan(
Book
)
61 editions published between 1922 and 2005 in 6 languages and held by 429 WorldCat member libraries worldwide
61 editions published between 1922 and 2005 in 6 languages and held by 429 WorldCat member libraries worldwide
Les systèmes differentiels extérieurs et leur applications géométriques by
Elie Cartan(
Book
)
43 editions published between 1945 and 1971 in 3 languages and held by 358 WorldCat member libraries worldwide
43 editions published between 1945 and 1971 in 3 languages and held by 358 WorldCat member libraries worldwide
Leçons sur la géométrie projective complexe by
Elie Cartan(
Book
)
34 editions published between 1931 and 1950 in 3 languages and held by 340 WorldCat member libraries worldwide
34 editions published between 1931 and 1950 in 3 languages and held by 340 WorldCat member libraries worldwide
Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at the Sorbonne in 19261927 by
Elie Cartan(
Book
)
23 editions published in 2001 in 3 languages and held by 254 WorldCat member libraries worldwide
In 192627, 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 nonEuclidean 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
23 editions published in 2001 in 3 languages and held by 254 WorldCat member libraries worldwide
In 192627, 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 nonEuclidean 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 244 WorldCat member libraries worldwide
8 editions published in 1983 in English and held by 244 WorldCat member libraries worldwide
Œuvres complètes by
Elie Cartan(
Book
)
in French and held by 207 WorldCat member libraries worldwide
in French and held by 207 WorldCat member libraries worldwide
Les espaces de Finsler by
Elie Cartan(
Book
)
15 editions published in 1934 in French and held by 198 WorldCat member libraries worldwide
15 editions published in 1934 in French and held by 198 WorldCat member libraries worldwide
Les espaces métriques fondés la notion d'aire by
Elie Cartan(
Book
)
17 editions published between 1932 and 1971 in French and Undetermined and held by 188 WorldCat member libraries worldwide
17 editions published between 1932 and 1971 in French and Undetermined and held by 188 WorldCat member libraries worldwide
La topologie des groupes de Lie by
Elie Cartan(
Book
)
18 editions published in 1936 in French and held by 188 WorldCat member libraries worldwide
18 editions published in 1936 in French and held by 188 WorldCat member libraries worldwide
La théorie des groupes finis et continus et l'analysis situs by
Elie Cartan(
Book
)
21 editions published between 1930 and 1952 in 3 languages and held by 174 WorldCat member libraries worldwide
21 editions published between 1930 and 1952 in 3 languages and held by 174 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 168 WorldCat member libraries worldwide
21 editions published between 1933 and 1935 in French and held by 168 WorldCat member libraries worldwide
Le parallélisme absolu et la théorie unitaire du champ by
Elie Cartan(
Book
)
27 editions published between 1912 and 1997 in French and Undetermined and held by 155 WorldCat member libraries worldwide
27 editions published between 1912 and 1997 in French and Undetermined and held by 155 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 152 WorldCat member libraries worldwide
8 editions published in 1986 in English and held by 152 WorldCat member libraries worldwide
Exposés de géométrie by
Elie Cartan(
Book
)
18 editions published in 1971 in 3 languages and held by 135 WorldCat member libraries worldwide
18 editions published in 1971 in 3 languages and held by 135 WorldCat member libraries worldwide
Selecta; jubilé scientifique by
Elie Cartan(
Book
)
17 editions published in 1939 in French and Undetermined and held by 134 WorldCat member libraries worldwide
17 editions published in 1939 in French and Undetermined and held by 134 WorldCat member libraries worldwide
Elie CartanAlbert Einstein : letters on absolute parallelism, 19291932 by
Elie Cartan(
Book
)
21 editions published in 1979 in 4 languages and held by 61 WorldCat member libraries worldwide
21 editions published in 1979 in 4 languages and held by 61 WorldCat member libraries worldwide
Élie Cartan, 18691951 : hommage de l'Académie de la République Socialiste de Roumanie à l'occasion du centenaire de sa
naissance by
Elie Cartan(
Book
)
7 editions published between 1975 and 1979 in French and Undetermined and held by 41 WorldCat member libraries worldwide
7 editions published between 1975 and 1979 in French and Undetermined and held by 41 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Finikov, S. P. (Sergeĭ Pavlovich) 18831964 Author
 Mercier, André Annotator Redactor Editor
 Einstein, Albert 18791955
 Debever, Robert Editor
 Marty, F. (Frédéric) 1911 Editor
 Vincensini, Paul Félix Other Editor
 Akivis, M. A. (Maks Aĭzikovich) Author
 Rozenfelʹd, B. A. (Boris Abramovich)
 Centre national de la recherche scientifique (France) Editor
 Bouligand, Georges (18891979) Author
Useful Links
Associated Subjects
Algebra Calculus of tensors Cartan, Elie, Celestial mechanics Connections (Mathematics) Continuous groups Cosmology Differential equations Differential equations, Partial Einstein, Albert, Electromagnetism Exterior differential systems France Generalized spaces General relativity (Physics) Geometry Geometry, Differential Geometry, Projective Geometry, Riemannian Gravitation Group schemes (Mathematics) Group theory Invariants Lie algebras Lie groups Manifolds (Mathematics) Mathematical physics Mathematicians Mathematics Metric spaces Multiple integrals Numbers, Complex Physicists Projective differential geometry Pseudogroups Quantum field theory Quantum theory Relativity (Physics) Riemannian manifolds Spinor analysis Topology Transformations, Infinitesimal Transformations (Mathematics) Unified field theories Variables (Mathematics) Vector analysis
Alternative Names
Cartan, E.
Cartan É. 18691951
Cartan, E. (Elie), 18691951
Cartan, Élie
Cartan, Élie 18691951
Cartan, Élie J. 18691951
Cartan, Élie Joseph
Cartan, Elie Joseph 1869
Cartan, Élie Joseph 18691951
Cartan, M. É., 18691951
Élie Cartan Frans wiskundige
Élie Cartan fransk matematikar
Élie Cartan fransk matematiker
Élie Cartan französischer Mathematiker, der Beiträge zur Theorie der LieGruppen und ihrer Anwendungen lieferte
Élie Cartan French mathematician
Élie Joseph Cartan matematico francese
Elie Kartan
Kartan, È.
Kartan, Ėli
Kartan, Ėli 18691951
Елі Жозеф Картан
Картан, Э..
Картан Э. 18691951
Картан Э.Д. 18691951
Картан, Эли.
Эли Картан
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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
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