Introduction to Riemannian Manifolds
Download or Read eBook Introduction to Riemannian Manifolds PDF written by John M. Lee and published by Springer. This book was released on 2019-01-02 with total page 447 pages. Available in PDF, EPUB and Kindle.
Author | : John M. Lee |
Publisher | : Springer |
Total Pages | : 447 |
Release | : 2019-01-02 |
ISBN-10 | : 9783319917559 |
ISBN-13 | : 3319917552 |
Rating | : 4/5 (59 Downloads) |
Book Synopsis Introduction to Riemannian Manifolds by : John M. Lee
Book excerpt: 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.