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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166) - Hardcover
Synopsis
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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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)
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Differential Geometry (Hardcover)
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Springer-Verlag New York Inc., New York, NY, 1997
ISBN 10: 0387947329
ISBN 13: 9780387947327
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Hardcover. Condition: new. Hardcover. 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 generalises" (= 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. Richard Sharpe erforscht in seinem Buch die Idee der Cartanschen Verbindungen und schliesst damit eine Lucke in der Literatur zur Differentialgeometrie. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387947327
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Differential Geometry : Cartan's Generalization of Klein's Erlangen Program
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (Graduate Texts in Mathematics, Vol. 166) (Graduate Texts in Mathematics, 166)
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Differential Geometry
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Differential Geometry : Cartan's Generalization of Klein's Erlangen Program
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