Lecture Notes in Mathematics

By: JÃ¼rgen Berndt, Franco Tricerri, Lieven Vanhecke

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Paperback | 6 March 1995

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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 needed to follow the entire treatment.

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Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Non-Euclidean Geometry Calculus & Mathematical Analysis Differential Calculus & Equations Groups & Group Theory Algebra Topology

Preface
Introduction	p. 1
Symmetric-like Riemannian manifolds	p. 4
Generalized Heisenberg groups	p. 21
Damek-Ricci spaces	p. 78
Bibliography	p. 115
Index	p. 123
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

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