Riemannian Geometry

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Riemannian Geometry by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine, Springer Berlin Heidelberg
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Author: Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine ISBN: 9783642188558
Publisher: Springer Berlin Heidelberg Publication: December 6, 2012
Imprint: Springer Language: English
Author: Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine
ISBN: 9783642188558
Publisher: Springer Berlin Heidelberg
Publication: December 6, 2012
Imprint: Springer
Language: English

This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.

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This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.

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