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
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 342
Cartan geometries were the first examples of connections on a principal bundle. They seem to be almo...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2000
Stránek
426
EAN
9780387947327
ISBN
0387947329
Enbook ID
05247986
Hmotnost
838
Rozměry
242 x 166 x 30

Kompletní 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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