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- catalog abstract "This book, based on a graduate course on Riemannian geometry and analysis onmanifolds, given in Paris, covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features on the subject. Classical results on the relations between curvature and topology are treated in detail. The bookis quite self-contained, assuming of the reader only a knowledge of differential calculus in Euclidean space. It contains numerous exercises with full solutions and a series of detailed examples which are picked up again repeatedly to illustrate each new definition or property introduced. This book addresses both the graduate student wanting to learn Riemannian geometry, and also the professional mathematician from a neighbouring field who needs information about ideas and techniques which are now pervading many parts of mathematics.".
- catalog contributor b3434343.
- catalog contributor b3434344.
- catalog contributor b3434345.
- catalog created "c1990.".
- catalog date "1990".
- catalog date "c1990.".
- catalog dateCopyrighted "c1990.".
- catalog description "Differential Manifolds -- Riemannian Metrics -- Curvature -- Analysis on Manifolds and the Ricci Curvature -- Riemannian Submanifolds -- Some Extra Problems -- Solutions of Exercises -- Bibliography -- Index.".
- catalog description "Includes bibliographical references (p. [272]-278) and index.".
- catalog description "This book, based on a graduate course on Riemannian geometry and analysis onmanifolds, given in Paris, covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features on the subject. Classical results on the relations between curvature and topology are treated in detail. The bookis quite self-contained, assuming of the reader only a knowledge of differential calculus in Euclidean space. It contains numerous exercises with full solutions and a series of detailed examples which are picked up again repeatedly to illustrate each new definition or property introduced. This book addresses both the graduate student wanting to learn Riemannian geometry, and also the professional mathematician from a neighbouring field who needs information about ideas and techniques which are now pervading many parts of mathematics.".
- catalog extent "xiii, 284 p. :".
- catalog hasFormat "Riemannian geometry.".
- catalog identifier "0387524010 (New York : acid-free paper)".
- catalog identifier "3540524010 (Berlin : acid-free paper)".
- catalog isFormatOf "Riemannian geometry.".
- catalog isPartOf "Universitext".
- catalog issued "1990".
- catalog issued "c1990.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Riemannian geometry.".
- catalog subject "516.3/73 20".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Geometry, Riemannian.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA649 .G35 1990".
- catalog tableOfContents "Differential Manifolds -- Riemannian Metrics -- Curvature -- Analysis on Manifolds and the Ricci Curvature -- Riemannian Submanifolds -- Some Extra Problems -- Solutions of Exercises -- Bibliography -- Index.".
- catalog title "Riemannian geometry / Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.".
- catalog type "text".