| Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces 1995 Edition Contributor(s): Berndt, Jürgen (Author), Tricerri, Franco (Author), Vanhecke, Lieven (Author) |
|
 |
ISBN: 3540590013 ISBN-13: 9783540590019 Publisher: Springer OUR PRICE: $37.95 Product Type: Paperback - Other Formats Published: March 1995 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Geometry - Differential - Mathematics | Group Theory |
| Dewey: 515.373 |
| LCCN: 95001415 |
| Series: Eso Astrophysics Symposia |
| Physical Information: 0.3" H x 6.14" W x 9.21" (0.45 lbs) 128 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |