书目名称 | Riemannian Geometry and Geometric Analysis |
编辑 | Jürgen Jost |
视频video | |
概述 | Jost‘s book attempts a synthesis of geometric and analytic method on the way to Riemannian geometry and the author achieves this goal..The result is an excellent book.".Acta Scientiarum Mathematicarum |
丛书名称 | Universitext |
图书封面 |  |
描述 | From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections. where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The 2nd ed. includes new material on Ginzburg-Landau, Seibert-Witten functionals, spin geometry, Dirac operators. |
出版日期 | Textbook 19982nd edition |
关键词 | Morse theory; Riemannian geometry; Seiber-Witten functionals; curvature; harmonic maps; manifold; symmetri |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-662-22385-7 |
isbn_ebook | 978-3-662-22385-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag Berlin Heidelberg 1998 |