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- catalog abstract "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.".
- catalog alternative "Damek-Ricci harmonic spaces.".
- catalog alternative "Heisenberg groups.".
- catalog contributor b7882223.
- catalog contributor b7882224.
- catalog contributor b7882225.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "1. Introduction -- 2. Symmetric-like Riemannian manifolds -- 3. Generalized Heisenberg groups -- 4. Damek-Ricci spaces.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "viii, 125 p. ;".
- catalog hasFormat "Generalized Heisenberg groups and Damek-Ricci harmonic spaces.".
- catalog identifier "0387590013 (New York : acid-free)".
- catalog identifier "3540590013 (Berlin : acid-free) :".
- catalog isFormatOf "Generalized Heisenberg groups and Damek-Ricci harmonic spaces.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1598.".
- catalog isPartOf "Lecture notes in mathematics ; 1598".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Generalized Heisenberg groups and Damek-Ricci harmonic spaces.".
- catalog subject "510 s 515.3/73 20".
- catalog subject "Geometry, Riemannian.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1598 QA670".
- catalog subject "Riemannian manifolds.".
- catalog subject "Topological Groups.".
- catalog tableOfContents "1. Introduction -- 2. Symmetric-like Riemannian manifolds -- 3. Generalized Heisenberg groups -- 4. Damek-Ricci spaces.".
- catalog title "Damek-Ricci harmonic spaces.".
- catalog title "Generalized Heisenberg groups and Damek-Ricci harmonic spaces / Jürgen Berndt, Franco Tricerri, Lieven Vanhecke.".
- catalog title "Heisenberg groups.".
- catalog type "text".