| 书目名称 | Riemannian Manifolds and Homogeneous Geodesics |
| 编辑 | Valerii Berestovskii,Yurii Nikonorov |
| 视频video | |
| 概述 | Provides a detailed presentation of the foundations of Riemannian geometry and the theory of isometric flows on Riemannian manifolds.Gives a self-contained general introduction to the theory of homoge |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics and on some of its important subclasses...To keep the exposition self-contained the book also includes useful general results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces...The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups.. |
| 出版日期 | Book 2020 |
| 关键词 | Geodesic orbit spaces; Generalized normal homogeneous spaces; Homogeneous spaces; Geodesics; Riemannian |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-56658-6 |
| isbn_softcover | 978-3-030-56660-9 |
| isbn_ebook | 978-3-030-56658-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 16:28:32
