| 期刊全稱 | An Introduction to Riemannian Geometry | | 期刊簡稱 | With Applications to | | 影響因子2023 | Leonor Godinho,José Natário | | 視頻video | http://file.papertrans.cn/156/155464/155464.mp4 | | 發(fā)行地址 | Presents a self-contained treatment of Riemannian geometry and applications to mechanics and relativity in one book.Conveys nontrivial results in general relativity (such as the Hawking and Penrose si | | 學科分類 | Universitext | | 圖書封面 |  | | 影響因子 | .Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity..The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects..The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making .An Introduction to Riemannian Geometry. ideal for self-study.. | | Pindex | Textbook 2014 |
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