Hidden Bibliographic Details
| Varying Form of Title: | Heisenberg groups
Damek-Ricci harmonic spaces
|
|---|
| Other authors / contributors: | Tricerri, F. (Franco), 1947-
Vanhecke, L.
|
|---|
| ISBN: | 9783540491712
3540491716
9780387590011
0387590013
9783540590019
3540590013
|
|---|
| Notes: | Includes bibliographical references (pages 115-122) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
|
|---|
| Summary: | 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.
|
|---|
| Other form: | Print version: Generalized Heisenberg groups and Damek-Ricci harmonic spaces. Berlin ; New York : Springer-Verlag, ©1995 3540590013
|
|---|
