Riemannian Manifolds
Riemannian Manifolds
ISBN: 9780387982717
出版社: Springer Verlag
出版年: 1997-9
页数: 242
定价: $ 95.99
装帧: HRD
内容简介
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.
关键词：Riemannian Manifolds