Riemannian Geometry: A Modern Introduction. Second edition (Cambridge Studies in Advanced Mathematics)

Chavel, Isaac

ISBN 10: 0521619548 / ISBN 13: 9780521619547

Published by Cambridge University Press, 2006

About this Item

*Price HAS BEEN REDUCED by 10% until Tuesday, May 26 (SALE item)* 2nd edition; 488 pp., Paperback, NEW!! - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Bibliographic Details

• Title: Riemannian Geometry: A Modern Introduction. Second edition (Cambridge Studies in Advanced Mathematics)
• Publisher: Cambridge University Press
• Publication Date: 2006
• Language: English
• ISBN 10: 0521619548
• ISBN 13: 9780521619547
• Binding: Soft cover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

About the Author

Isaac Chavel is Professor of Mathematics at The City College of the City University of New York. He received his Ph.D. in Mathematics from Yeshiva University under the direction of Professor Harry E. Rauch. He has published in international journals in the areas of differential geometry and partial differential equations, especially the Laplace and heat operators on Riemannian manifolds. His other books include Eigenvalues in Riemannian Geometry (1984) and Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives (Cambridge University Press, 2001). He has been teaching at The City College of the City University of New York since 1970, and has been a member of the doctoral program of the City University of New York since 1976. He is a member of the American Mathematical Society.