Differential geometry : Cartan's generalization of Klein's Erlangen program / R. W. Sharpe ; S. S. ChernType de document : MonographieCollection : Graduate texts in mathematics, 166Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, 1997Description : 1 vol. (XIX-421 p.) : ill. ; 25 cmISBN: 9780387947327.ISSN: 0072-5285.Bibliographie : Bibliogr. p. -415. Index.Sujet MSC : 53-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
53C05, Global differential geometry, Connections, general theory
55R10, Fiber spaces and bundles in algebraic topology, Fiber bundlesEn-ligne : Zentralblatt | MathSciNet Item type: Monographie
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This is the first book in the literature that fully explains why differential geometry is the study of a connection on a principal bundle. ... Every chapter begins with an informal discussion, in which the author explains to the reader what is really going on and why the topic is important and interesting. The rigorous treatment is supplemented with helpful remarks and a wide range of exercises. The book is recommended to graduate students and researchers interested in differential geometry. (Zentralblatt)
Bibliogr. p. -415. Index
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