圖書標籤: 黎曼幾何 數學 流形 拓撲 微分幾何 manifold Math Geometry
发表于2024-11-23
Riemannian Manifolds pdf epub mobi txt 電子書 下載 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 pdf epub mobi txt 電子書 下載 2024