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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Berndt, Jürgen
Tricerri, Franco
Vanhecke, Lieven

Paperback

Series: Lecture Notes in Mathematics, Book 1598

General MathematicsGeometry

ISBN10: 3540590013
ISBN13: 9783540590019
Publisher: Springer Nature
Published: Mar 6 1995
Pages: 128
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English
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.

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