Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Hardcover) (ISBN-13: 9780387947327)

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 g駭駻alis駸" (= 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.

Author: R. W. Sharpe
ISBN-10: 0387947329
ISBN-13: 9780387947327
Publisher: Springer
Language: English
Published: 06/12/1997
Pages: 426
Format: Hardcover
Weight: 1.64lbs
Size: 9.61h x 6.37w x 1.00d