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This book, based on a graduate course on Riemannian geometry and analysis on manifolds, held in Paris, covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. Classical results on the relations between curvature and topology are treated in detail. The book is quite self-contained, assuming of the reader only differential calculus in Euclidean space. It contains numerous exercises with full solutions and a series of detailed examples which are picked up repeatedly to illustrate each new definition or property introduced.
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Previews available in: English
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Book Details
Edition Notes
Includes bibliographical references (p. [272]-278) and index.
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- Created April 1, 2008
- 10 revisions
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July 30, 2024 | Edited by MARC Bot | import existing book |
February 25, 2022 | Edited by ImportBot | import existing book |
November 11, 2020 | Edited by MARC Bot | import existing book |
May 20, 2020 | Edited by CoverBot | Added new cover |
April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |