| 书目名称 | Riemannian Geometry and Geometric Analysis | | 编辑 | Jürgen Jost | | 视频video | | | 概述 | Continues to lead its readers to some of the hottest topics of contemporary research.Each chapter now includes additional basic exercises to test the reader’s understanding.Features new material on Ri | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. .The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes newmaterial, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature..From the reviews:.“This book provides a very readable introduction to Riemannian geomet | | 出版日期 | Textbook 2017Latest edition | | 关键词 | 53B21, 53L20, 32C17, 35I60, 49-XX, 58E20, 57R15; Riemannian geometry; Riemannian manifolds; Lie groups; | | 版次 | 7 | | doi | https://doi.org/10.1007/978-3-319-61860-9 | | isbn_softcover | 978-3-319-61859-3 | | isbn_ebook | 978-3-319-61860-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 18:04:12
