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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in
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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics) Paperback - 1995

by Berndt, Jürgen; Tricerri, Franco; Vanhecke, Lieven


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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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  • Title Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics)
  • Author Berndt, Jürgen; Tricerri, Franco; Vanhecke, Lieven
  • Binding Paperback
  • Edition 1st
  • Publisher Springer, Berlin
  • Date 1995-04
  • ISBN 9783540590019
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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

by Berndt, J.; Tricerri, F.; Vanhecke, L.

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Berlin: Springer Verlag, 1980. Book. Very Good. Paperback. Signed by Author(s). First Edition. 8vo. Signed and dedicated by the author Lieven Vanhecke to Tom [Willmore - see below]. 125 pages. Original printed card covers fine with minimal wear only. Contents clean and tight, unmarked. A very good copy. Text in English. (Lecture Notes in Mathematics 1598). From the library of the late Thomas James Willmore (Willmore was a renowned English geometer who held the post of professor of pure mathematics at Durham University from 1965 to his retirement in 1984. Two prominent themes in Willmore's mathematics are the study of harmonic spaces and what has been known for decades as the "Willmore conjecture")..
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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

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Paperback / softback. New. Generalized Heisenberg groups, or H-type groups, introduced by A. 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.
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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics)
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by Jürgen Berndt; Franco Tricerri; Lieven Vanhecke

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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics, 1598)
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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics, 1598)

by Berndt, Jürgen; Tricerri, Franco; Vanhecke, Lieven

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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics)
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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics)

by Jürgen Berndt, Franco Tricerri, Lieven Vanhecke

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