Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces / by Jürgen Berndt, Franco Tricerri, Lieven Vanhecke.

Format:

Book

Author/Creator:

Berndt, Jürgen, author.

Tricerri, F. (Franco), 1947- author.

Vanhecke, L., author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1598.

Lecture Notes in Mathematics, 0075-8434 ; 1598

Language:

English

Subjects (All):

Global differential geometry.

Algebra.

Group theory.

Topological groups.

Differential Geometry.

Group Theory and Generalizations.

Topological Groups, Lie Groups.

Local Subjects:

Differential Geometry.

Algebra.

Group Theory and Generalizations.

Topological Groups, Lie Groups.

Physical Description:

1 online resource (VIII, 128 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995.

System Details:

text file PDF

Summary:

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.

Contents:

Symmetric-like riemannian manifolds

Generalized Heisenberg groups

Damek-Ricci spaces.

Other Format:

Printed edition:

ISBN:

9783540491712

Access Restriction:

Restricted for use by site license.