Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
Author:   R.W. Sharpe ,  S.S. Chern
Publisher:   Springer-Verlag New York Inc.
Edition:   1st ed. 1997. Corr. 2nd printing 2000
Volume:   166
ISBN:  

9780387947327


Pages:   426
Publication Date:   12 June 1997
Format:   Hardback
Availability:   In Print   Availability explained
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program


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Overview

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.

Full Product Details

Author:   R.W. Sharpe ,  S.S. Chern
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st ed. 1997. Corr. 2nd printing 2000
Volume:   166
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.40cm
Weight:   1.780kg
ISBN:  

9780387947327


ISBN 10:   0387947329
Pages:   426
Publication Date:   12 June 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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