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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program Hardcover - 1997

by R. W. Sharpe; Preface by S. S. Chern


From the publisher

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 gnraliss" (= 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.

First line

Although several mathematicians, especially C.F. Gauss, studied the notion of a smooth manifold in special cases, the idea of an abstract manifold of arbitrary finite dimension seems to be due to Riemann.

Details

  • Title Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
  • Author R. W. Sharpe; Preface by S. S. Chern
  • Binding Hardcover
  • Edition international ed
  • Pages 426
  • Volumes 1
  • Language ENG
  • Publisher Springer, china
  • Date 1997-06-12
  • Illustrated Yes
  • ISBN 9780387947327 / 0387947329
  • Weight 1.64 lbs (0.74 kg)
  • Dimensions 9.61 x 6.37 x 1 in (24.41 x 16.18 x 2.54 cm)
  • Library of Congress subjects Geometry, Differential
  • Library of Congress Catalog Number 96013757
  • Dewey Decimal Code 516.36
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Differential Geometry : Cartan's Generalization of Klein's Erlangen Program
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Differential Geometry : Cartan's Generalization of Klein's Erlangen Program

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

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

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

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

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Differential Geometry
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Differential Geometry

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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate...
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)

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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics (166))

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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics (166))

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