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Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

by Jürgen Berndt , Franco Tricerri , Lieven Vanhecke
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Current price ₹2,934.00
Original price ₹3,521.00
Original price ₹3,521.00
Original price ₹3,521.00
(-17%)
₹2,934.00
Current price ₹2,934.00

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Book cover type: Paperback
  • ISBN13: 9783540590019
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 128
  • Original Price: GBP 22.99
  • Language: English
  • Edition: 1995
  • Item Weight: 205 grams
  • BISAC Subject(s): Differential Equations / General

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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