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Generalized Heisenberg Groups

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ISBN-10: 3540590013

ISBN-13: 9783540590019

Edition: 1995

Authors: J. Berndt, F. Tricerri, L. Vanhecke

List price: $39.95
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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…    
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Book details

List price: $39.95
Copyright year: 1995
Publisher: Springer Berlin / Heidelberg
Publication date: 3/6/1995
Binding: Paperback
Pages: 128
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.440
Language: English

Symmetric-like Riemannian manifolds
Generalized Heisenberg groups
Damek-Ricci spaces