Riemannian Manifolds 在线电子书 图书标签: 黎曼几何 数学 流形 拓扑 微分几何 manifold Math Geometry
发表于2024-11-24
Riemannian Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
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Riemannian Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024