Kniha Differential Geometry R. W. Sharpe

Differential Geometry

Cartan's Generalization of Klein's Erlangen Program. Forew. by S. S. Chern

Autor: R. W. Sharpe
Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
58.84
Cartan geometries were the first examples of connections on a principal bundle. They seem to be almo...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2000
Stránok
426
EAN
9780387947327
ISBN
0387947329
Enbook ID
05247986
Hmotnosť
838
Rozmery
242 x 166 x 30

Kompletný popis

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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