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Riemannian Geometry: A Modern Introduction

4.6/5 ( ratings)

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.

Language: English

Pages: 488

Format: Hardcover

Publisher: Cambridge University Press

Release: April 10, 2006

ISBN: 0521853680

ISBN 13: 9780521853682

Riemannian Geometry: A Modern Introduction

4.6/5 ( ratings)

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.

Language: English

Pages: 488

Format: Hardcover

Publisher: Cambridge University Press

Release: April 10, 2006

ISBN: 0521853680

ISBN 13: 9780521853682

More books from Isaac Chavel

Pure and Applied Mathematics, Volume 115: Eigenvalues in Riemannian Geometry

Eigenvalues in Riemannian Geometry

Eigenvalues in Riemannian Geometry (Pure and Applied Mathematics)

Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives (Cambridge Tracts in Mathematics, Series Number 145)

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