Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166)
Sharpe, R.W.
ISBN 10: 0387947329 ISBN 13: 9780387947327
Published by Springer, 1997
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About this Item
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Cover may have light wear, pages in very good condition and binding is sturdy; may have other light shelf wear or creases. May have notes or highlighting. Seller Inventory # EVV.0387947329.VG
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 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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Bibliographic Details
Title: Differential Geometry: Cartan's ...
Publisher: Springer
Publication Date: 1997
Binding: Hardcover
Condition: very_good