Książka Differential Geometry R. W. Sharpe

Differential Geometry

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

Autor: R. W. Sharpe
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
248.97
Cartan geometries were the first examples of connections on a principal bundle. They seem to be almo...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2000
strony
426
EAN
9780387947327
ISBN
0387947329
Enbook ID
05247986
Waga
838
Wymiary
242 x 166 x 30

Pełny opis

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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