书目名称 | Riemannian Geometry and Geometric Analysis |
编辑 | Jürgen Jost |
视频video | http://file.papertrans.cn/831/830310/830310.mp4 |
概述 | Continues to lead its readers to some of the hottest topics of contemporary mathematical research.Each chapter ends with a set of exercises.The 6th edition includes a systematic treatment of eigenvalu |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. .The 6.th. edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of the book..From the reviews:. ."This book provides a very readable introduction to Riemannian geometry and geometric analysis. ... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." .Mathematical.Reviews."...the material ... is self-contained. Each chapter ends with a set of exercises. Most of the paragraphs have a section ‘Perspectives’, written with the aim to place the material in a broader context and explain further results and |
出版日期 | Textbook 20116th edition |
关键词 | 53B21, 53L20, 32C17, 35I60, 49-XX, 58E20, 57R15; Dirac operator; Morse theory; Riemannian geometry; curv |
版次 | 6 |
doi | https://doi.org/10.1007/978-3-642-21298-7 |
isbn_ebook | 978-3-642-21298-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |