| 书目名称 | Riemannian Geometry and Geometric Analysis |
| 编辑 | Jürgen Jost |
| 视频video | |
| 概述 | Established textbook.Continues to lead its readers to some of the hottest topics of contemporary mathematical research.Includes supplementary material: |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | Riemannian geometry is characterized, and research is oriented towards and shaped by concepts (geodesics, connections, curvature, ... ) and objectives, in particular to understand certain classes of (compact) Riemannian manifolds defined by curvature conditions (constant or positive or negative curvature, ... ). By way of contrast, geometric analysis is a perhaps somewhat less system atic collection of techniques, for solving extremal problems naturally arising in geometry and for investigating and characterizing their solutions. It turns out that the two fields complement each other very well; geometric analysis offers tools for solving difficult problems in geometry, and Riemannian geom etry stimulates progress in geometric analysis by setting ambitious goals. It is the aim of this book to be a systematic and comprehensive intro duction to Riemannian geometry and a representative introduction to the methods of geometric analysis. It attempts a synthesis of geometric and an alytic methods in the study of Riemannian manifolds. The present work is the third edition of my textbook on Riemannian geometry and geometric analysis. It has developed on the basis of several graduate cou |
| 出版日期 | Textbook 20023rd edition |
| 关键词 | Floer homology; Functionals; Riemannian geometry; curvature; derivative; differential equation; field theo |
| 版次 | 3 |
| doi | https://doi.org/10.1007/978-3-662-04672-2 |
| isbn_ebook | 978-3-662-04672-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 18:31:36
