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Riemannian Geometry

by Sylvestre Gallot and Dominique Hulin and Jacques Lafontaine

Riemannian Geometry Cover

ISBN13: 9783540204930
ISBN10: 3540204938
Condition: Standard
All Product Details

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Synopses & Reviews

Publisher Comments:


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 introduces.
For this third edition, some topics on geodesic flow and Lorentzian geometry have been added and worked out in the same spirit.
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Table of Contents

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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Product Details

ISBN:
9783540204930
Author:
Sylvestre Gallot and Dominique Hulin and Jacques Lafontaine
Publisher:
Springer
Author:
Hulin, Dominique
Author:
Gallot, Sylvestre
Author:
LaFontaine, Jacques
Location:
New York
Subject:
Relativity
Subject:
Geometry - Differential
Subject:
Curvature.
Subject:
Riemannian goemetry
Copyright:
2004
Edition Number:
3
Edition Description:
3rd ed.
Series:
Universitext
Publication Date:
October 2007
Binding:
Paperback
Language:
English
Illustrations:
Y
Pages:
344
Dimensions:
9.21x6.14x.72 in. 1.06 lbs.
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