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" Riemannian Geometry "
by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.
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BL
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| Record Number
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756629
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b576592
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| Main Entry
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by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.
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| Title & Author
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Riemannian Geometry\ by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.
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| Publication Statement
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Berlin, Heidelberg : Springer Berlin Heidelberg, 1987
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| Series Statement
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Universitext.
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| Page. NO
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(xi, 248 pages)
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| ISBN
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3642970265
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: 9783642970269
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| Contents
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Differential Manifolds --; Riemannian Metrics --; Curvature --; Analysis on Manifolds and the Ricci Curvature --; Riemannian Submanifolds --; Some Extra Problems --; Solutions of Exercises --; Bibliography --; Index.
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| Abstract
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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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| Subject
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Cell aggregation -- Mathematics.
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| Subject
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Global differential geometry.
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Mathematics.
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| Added Entry
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Dominique Hulin
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Jacques Lafontaine
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Sylvestre Gallot
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