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＜E-Book＞
Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces / by Jürgen Berndt, Franco Tricerri, Lieven Vanhecke
(Lecture Notes in Mathematics. ISSN:16179692 ; 1598)

Edition	1st ed. 1995.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1995
Size	VIII, 128 p : online resource
Authors	*Berndt, Jürgen author Tricerri, Franco author Vanhecke, Lieven author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Algebra LCSH:Group theory LCSH:Topological groups LCSH:Lie groups FREE:Differential Geometry FREE:Algebra FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups
Notes	Symmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces 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 HTTP:URL=https://doi.org/10.1007/BFb0076902

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