Riemannian Geometry: A Modern Introduction. Isaac Chavel

Riemannian Geometry: A Modern Introduction



Download Riemannian Geometry: A Modern Introduction



Riemannian Geometry: A Modern Introduction Isaac Chavel ebook pdf
Publisher: Cambridge University Press
Language: English
Page: 489
ISBN: 0521853680, 9780521853682

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.



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