| Title:
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DIFFERENTIAL GEOMETRY
CARTAN'S GENERALIZATION OF KLEIN'S ERLANGEN PROGRAM |
| By: |
R.W. Sharpe, Shiing-Shen Chern |
| Format: |
Hardback |
| List price:
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£53.99 |
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| ISBN 10: |
0387947329 |
| ISBN 13: |
9780387947327 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
21 November, 2000 |
| Edition: |
1st ed. 1997. Corr. 2nd printing 2000 |
| Series: |
Graduate Texts in Mathematics v. 166 |
| Pages: |
426 |
| Description: |
Richard Sharpe erforscht in seinem Buch die Idee der Cartanschen Verbindungen und schliesst damit eine Lucke in der Literatur zur Differentialgeometrie. |
| Synopsis: |
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 generalises" (= 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. |
| Illustrations: |
2 black & white tables, biography |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |