Riemannian Geometry: A Modern Introduction

中文名:
黎曼几何:现代简介
作者:
艾萨克·沙韦尔 Isaac Chavel
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黎曼几何:现代简介(Riemannian Geometry: A Modern Introduction)简介:
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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