| 书目名称 | Introduction to Riemannian Manifolds |
| 编辑 | John M. Lee |
| 视频video | |
| 概述 | Easy for instructors to adapt the topical coverage to suit their course.Develops an intimate acquaintance with the geometric meaning of curvature.Gives students strong skills via numerous exercises an |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, .Riemannian Manifolds: An Introduction to Curvature.. Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material..While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannianmetrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights.. |
| 出版日期 | Textbook 2018Latest edition |
| 关键词 | Riemannian geometry; curvature; manifold; differential geometry textbook; graduate mathematics textbook; |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-319-91755-9 |
| isbn_softcover | 978-3-030-80106-9 |
| isbn_ebook | 978-3-319-91755-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 17:54:42
