Riemannian Geometry

Name: Riemannian Geometry
Availability: InStock
ISBN: 9780817634902

ISBN-10: 0817634908

ISBN-13: 9780817634902

Edition: 4th 1992

Authors: Manfredo Perdigï¿½o Do Carmo, Francis Flaherty

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Description:

This text has been adopted at:University of Pennsylvania, PhiladelphiaUniversity of Connecticut, StorrsDuke University, Durham, NCCalifornia Institute of Technology, PasadenaUniversity of Washington, SeattleSwarthmore College, Swarthmore, PAUniversity of Chicago, ILUniversity of Michigan, Ann Arbor"In the reviewer's opinion, this is a superb book which makes learning a real pleasure." Revue Romaine de Mathematiques Pures et Appliquees"This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." Monatshefte F. Mathematik"This is one of the best (if even not just the best) book for those who want…

Book details

List price: $49.99
Edition: 4th
Copyright year: 1992
Publisher: Birkhï¿½user Boston
Publication date: 1/1/1992
Binding: Hardcover
Pages: 300
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 1.474
Language: English



Preface to the 1st edition


Preface to the 2nd edition


Preface to the English edition


How to use this book



Differentiable Manifolds



Riemannian Metrics



Affine Connections


Riemannian Connections



Geodesics


Convex Neighborhoods



Curvature



Jacobi Fields



Isometric Immersions



Complete Manifolds


Hopf-Rinow and Hadamard Theorems



Spaces of Constant Curvature



Variations of Energy



The Rauch Comparison Theorem



The Morse Index Theorem



The Fundamental Group of Manifolds of Negative Curvature



The Sphere Theorem


References


Index