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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces
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Catalogue Information
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
Links to Related Works
Subject References:
Algebra
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Differential Geometry
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Group theory
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Group Theory and Generalizations
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Lie groups
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Mathematics
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Topological groups
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Topological groups, Lie groups
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Authors:
author
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Berndt, Jürgen. 1959-
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Tricerri, Franco
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Vanhecke, Lieven
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
516.36
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