Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces Paperback
by Jurgen Berndt, Franco Tricerri, L. (Catholic University of Leuven, Belgium) Vanhecke
Part of the Lecture Notes in Mathematics series
Paperback
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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.
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- Format:Paperback
- Pages:128 pages, biography
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:06/03/1995
- Category:
- ISBN:9783540590019
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- PDF from £19.54
Information
-
Unavailable
- Format:Paperback
- Pages:128 pages, biography
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:06/03/1995
- Category:
- ISBN:9783540590019
