TY  - BOOK
AU  - Berndt,Jürgen
AU  - Tricerri,Franco
AU  - Vanhecke,Lieven
ED  - SpringerLink (Online service)
TI  - Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces
T2  - Lecture Notes in Mathematics,
SN  - 9783540491712
AV  - QA641-670 
U1  - 516.36 23
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Topological Groups
KW  - Global differential geometry
KW  - Differential Geometry
KW  - Topological Groups, Lie Groups
N1  - Symmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0076902
ER  -