Riemannian geometry: a modern introduction

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Mathematics
Mathematics - Geometry and Topology
Riemannian geometry: a modern...

Riemannian geometry: a modern introduction

Name: Riemannian geometry: a modern introduction
ISBN: 9780521619547

Isaac Chavel

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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.

الفئات:

Mathematics
Mathematics - Geometry and Topology

عام:

2006

الإصدار:

الناشر:

Cambridge University Press

اللغة:

english

الصفحات:

489

ISBN 10: