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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces
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Field name Details
Dewey Class 516.36
Title Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces ([EBook]) / by Jürgen Berndt, Franco Tricerri, Lieven Vanhecke.
Author Berndt, Jürgen. , 1959-
Added Personal Name Tricerri, Franco
Vanhecke, Lieven
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1995.
Physical Details VIII, 128 pages : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1598
ISBN 9783540491712
Summary Note 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.:
Contents note Symmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0076902
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