UID:
almahu_9947921582102882
Umfang:
VIII, 128 p.
,
online resource.
ISBN:
9783540491712
Serie:
Lecture Notes in Mathematics, 1598
Inhalt:
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.
Anmerkung:
Symmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783540590019
Sprache:
Englisch
Fachgebiete:
Mathematik
URL:
http://dx.doi.org/10.1007/BFb0076902
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
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