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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Differential Geometry: Cartan's Generalization of Klein's Erlangen Program

Differential Geometry: Cartan's Generalization of Klein's Erlangen Program

Sharpe, R. W.
Chern, S. S.

Hardcover

Series: Graduate Texts in Mathematics, Book 166

General ScienceGeometry

Currently unavailable to order

ISBN10: 0387947329
ISBN13: 9780387947327
Publisher: Springer Nature
Published: Jun 12 1997
Pages: 426
Weight: 1.64
Height: 1.00 Width: 6.37 Depth: 9.61
Language: English
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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