A Riemannian characterization of the Heisenberg group

DOI10.1007/BF01263648zbMath0803.53031OpenAlexW2068484083MaRDI QIDQ1332636

Paola Piu, Michel Goze

Publication date: 18 December 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01263648

zbMATH Keywords

nilpotent Lie groupsHeisenberg groupsleft-invariant Riemannian metricsnaturally reductive space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General properties and structure of real Lie groups (22E15)

Cites Work

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• Classification des métriques invariantes à gauche sur le groupe de Heisenberg. (Classification of left invariant metrics on the Heisenberg group)
• Perturbations des superalgèbres de Lie. (Perturbations of Lie superalgebras)
• Classification des algèbres de Lie nilpotentes complexes de dimension 7. (Classification of nilpotent complex Lie algebras of dimension 7)
• Divergence-preserving geodesic symmetries
• Naturally Reductive Homogeneous Riemannian Manifolds
• Classification of five-dimensional naturally reductive spaces
• On the Geometry of Groups of Heisenberg Type

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