| 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,...) andobjectives,inparticularto understand certain classes of (compact) Riemannian manifolds de?ned by curvature conditions (constant or positive or negative curvature,...). Bywayofcontrast,g- metric analysis is a perhaps somewhat less systematic collection of techniques, for solving extremal problems naturally arising in geometry and for investigating and characterizing their solutions. It turns out that the two ?elds complement each other very well; geometric analysis o?ers tools for solving di?cult problems in geometry, and Riemannian geometry stimulates progress in geometric analysis by setting am- tious goals. It is the aim of this book to be a systematic and comprehensive introduction to Riemannian geometry and a representative introduction to the methods of geometric analysis. It attempts a synthesis of geometric and analytic methods in the study of Riemannian manifolds. The present work is the ?fth edition of my textbook on Riemannian geometry and geometric analysis. It has developed on the basis of several graduate courses I taught at the Ruhr- | | 出版日期 | Textbook 20085th edition | | 关键词 | Floer homology; Kähler geometry; Morse theory; Riemannian geometry; Seiber-Witten functionals; curvature; | | 版次 | 5 | | doi | https://doi.org/10.1007/978-3-540-77341-2 | | isbn_ebook | 978-3-540-77341-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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发表于 2025-3-21 19:11:21
