Riemannian Manifolds 在線電子書 圖書標籤: 黎曼幾何 數學 流形 拓撲 微分幾何 manifold Math Geometry
發表於2024-12-26
Riemannian Manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 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 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024