Weakly symmetric groups of Heisenberg type

DOI10.1016/S0926-2245(98)00014-XzbMath0921.53018WikidataQ115337494 ScholiaQ115337494MaRDI QIDQ1127856

Jürgen Berndt, Fulvio Ricci, Lieven Vanhecke

Publication date: 8 September 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

commutative spacesweakly symmetric spaces\(H\)-type groupsgeneralized Heisenberg groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (7)

Weak symmetry in naturally reductive homogeneous nilmanifolds ⋮ New examples of weakly symmetric spaces ⋮ A new class of weakly symmetric spaces ⋮ Gelfand pairs attached to representations of compact Lie groups ⋮ On the classification of weakly symmetric Finsler spaces ⋮ Finsler spaces whose geodesics are orbits ⋮ Modified \(H\)-type groups and symmetric-like Riemannian spaces

Cites Work

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• Weakly symmetric spaces in dimension five
• Isometry groups on homogeneous nilmanifolds
• Riemannian nilmanifolds attached to Clifford modules
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Geodesics in weakly symmetric spaces
• Geometry of weakly symmetric spaces
• Weakly symmetric spaces in complex and quaternionic space forms
• Explicit Spin Representations and Lie Algebras of Heisenberg Type
• Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Symmetric-like Riemannian manifolds and geodesic symmetries

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