Graduate Texts in Mathematics

Differential Geometry

Cartan's Generalization of Klein's Erlangen Program

Authors: Sharpe, R.W.

Buy this book

Hardcover $79.95
price for USA
  • ISBN 978-0-387-94732-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Buy this book

Hardcover $79.95
price for USA
  • ISBN 978-0-387-94732-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Differential Geometry
Book Subtitle
Cartan's Generalization of Klein's Erlangen Program
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
166
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
Hardcover ISBN
978-0-387-94732-7
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XX, 426
Topics