| 书目名称 | Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces |
| 编辑 | Jürgen Berndt,Franco Tricerri,Lieven Vanhecke |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres..These notes contain a thorough study of their Riemannian geometry by means of a detailed treatment of their Jacobi vector fields and Jacobi operators. Some problems are included and will hopefully stimulate further research on these spaces. The book is written for students and researchers, assuming only basic knowledge of Riemannian geometry, and it contains a brief survey of the background material needed to follow the entire treatment. |
| 出版日期 | Book 1995 |
| 关键词 | Generalized Heisenberg groups; Riemannian geometry; geodesic spheres; geodesic symmetries; harmonic spac |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0076902 |
| isbn_softcover | 978-3-540-59001-9 |
| isbn_ebook | 978-3-540-49171-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1995 |
发表于 2025-3-21 20:06:36
