Differential Geometry: Cartan's Generalization of Klein's Erlangen Program: 166 - Rilegato

Sharpe, R. W.

Rilegato

ISBN 10: 0387947329 ISBN 13: 9780387947327

Casa editrice: Springer Nature, 1997

Riassunto

Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces généralisés" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.

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Contenuti

In the Ashes of the Ether: Differential Topology.- Looking for the Forest in the Leaves: Folations.- The Fundamental Theorem of Calculus.- Shapes Fantastic: Klein Geometries.- Shapes High Fantastical: Cartan Geometries.- Riemannian Geometry.- Möbius Geometry.- Projective Geometry.- Appendix A - E.

Product Description

Book by Sharpe RW

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0387947329
• ISBN 13: 9780387947327
• Rilegatura: Copertina rigida
• Numero di pagine: 421
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania