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Riemannian Geometry pdf epub mobi txt 电子书下载 2024

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Peter Petersen

Springer

2010-11-23

405

USD 64.95

Paperback

Graduate Texts in Mathematics

9781441921239

图书标签: 数学黎曼几何微分几何几何 Math Geometry Springer 数学-微分几何

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发表于2024-12-23

Riemannian Geometry epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Riemannian Geometry pdf epub mobi txt 电子书下载 2024

图书描述

This volume introduces techniques and theorems of Riemannian geometry, and opens the way to advanced topics. The text combines the geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new coordinate-free formula that is easily remembered (the Koszul formula in disguise); an expanded number of coordinate calculations of connection and curvature; general fomulas for curvature on Lie Groups and submersions; variational calculus integrated into the text, allowing for an early treatment of the Sphere theorem using a forgotten proof by Berger; recent results regarding manifolds with positive curvature.

Riemannian Geometry 下载 mobi epub pdf txt 电子书