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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Name: Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces
Brand: Springer, Berlin
SKU: 01565923
Price: 25.72 EUR
Availability: InStock
Author: Jürgen Berndt
ISBN: 9783540590019

Jürgen Berndt

Franco Tricerri

Lieven Vanhecke

Jezik

Engleski

Knjiga Meki uvez

Libristo kod: 01565923

Nakladnici Springer, Berlin, studeni 1994

Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic s... Cijeli opis

Libristo kod: 01565923

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25.72 €

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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.