Differential Geometry: Cartan's Generalization of Klein's

Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)

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 gÃ©nÃ©ralisÃ©s" (= 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.
Country USA
Brand Springer
Manufacturer Springer
Binding Hardcover
ItemPartNumber 104 black & white illustrations, 2 black
ReleaseDate 1997-06-12
UnitCount 1
EANs 9780387947327

Country	USA
Brand	Springer
Manufacturer	Springer
Binding	Hardcover
ItemPartNumber	104 black & white illustrations, 2 black
ReleaseDate	1997-06-12
UnitCount	1
EANs	9780387947327

Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)