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Differential Geometry

Name: Differential Geometry
Brand: Springer-Verlag New York Inc.
SKU: 05247986
Price: 53.19 EUR
Availability: InStock
Author: R. W. Sharpe
ISBN: 9780387947327

Cartan's Generalization of Klein's Erlangen Program. Forew. by S. S. Chern

R. W. Sharpe

Lingua

Inglese

Libro Rigido

Codice Libristo: 05247986

Casa editrice Springer-Verlag New York Inc., novembre 2000

Cartan geometries were the first examples of connections on a principal bundle. They seem to be almo... Descrizione completa

Codice Libristo: 05247986

130 b

53.19 €

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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.