Elie Cartan (1869-1951)

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American Mathematical Soc., 1993 - Mathematics - 317 pages
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This book describes the life and achievements of the great french mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential geometry, as well as later developments stemming from his ideas. The volume includes a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.
 

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Contents

Lie Groups and Algebras
33
Projective Spaces and Projective Metrics
87
Lie Pseudogroups and Pfaffian Equations
125
Chapter t 5 The Method of Moving Frames and Differential
145
Riemannian Manifolds Symmetric Spaces
177
Generalized Spaces
211
Conclusion
235
List of Publications of Elie Cartan
248
Appendix A Rapport sur les Travaux de M Cartan by H Poincare
266
The Influence of France in the Development
281
Bibliography
303
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About the author (1993)

Maks A. Akivis is Professor of Mathematics at the Ben-Gurion University of the Negev in Beer-Sheva, Israel, and at the Moscow Institute of Steel and Alloys in Russia.
Vladislav V. Goldberg is Distinguished Professor of Mathematics at the New Jersey Institute of Technology in Newark.
Dr. Akivis and Dr. Goldberg are the authors of numerous papers, many of which they wrote jointly. They are the authors of the book Tensor Calculus and the monograph Projective Differential Geometry of Submanifolds. In addition, Dr. Akivis is a coauthor of the monograph Geometry and Algebra of Multidimensional Three-Webs and the book Elie Cartan (1869-1951), and Dr. Goldberg is the author of the monograph Theory of Multicodimensional (n+1)-Webs.

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