Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Jürgen Berndt, Franco Tricerri, Lieven Vanhecke (Autoren)

Buch | Softcover

VIII, 128 Seiten

1995 | 1995
Springer Berlin (Verlag)
978-3-540-59001-9 (ISBN)

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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.

Symmetric-like riemannian manifolds.- Generalized Heisenberg groups.- Damek-Ricci spaces.

Erscheint lt. Verlag	6.3.1995
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 128 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	222 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Generalized Heisenberg groups • geodesic spheres • geodesic symmetries • harmonic spaces • jacobic operators • Liesche Algebren/Gruppen • manifold • Riemannian Geometry
ISBN-10	3-540-59001-3 / 3540590013
ISBN-13	978-3-540-59001-9 / 9783540590019
Zustand	Neuware