Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Paperback, 1995 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1598
Release date:	March 1995
First published:	1995
Authors:	Jurgen Berndt • Franco Tricerri • Lieven Vanhecke
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	128
Edition:	1995 ed.
ISBN-13:	978-3-540-59001-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-540-59001-3
Barcode:	9783540590019

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