Les groupes oscillateurs et leurs réseaux. (Oscillator groups and their lattices)

DOI10.1007/BF01171487zbMath0576.53042MaRDI QIDQ1065374

Alberto Medina, Philippe Revoy

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155079

zbMATH Keywords

metricsolvable Lie groupsoscillator groupsbiinvariant Lorentziandiscrete co-compact subgroups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (14)

Algebres de lie orthogonales modules orthogonaux ⋮ Reductive decompositions and Einstein–Yang–Mills equations associated to the oscillator group ⋮ Actions of discrete groups on stationary Lorentz manifolds ⋮ A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms ⋮ Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ Quadratic Lie algebras with 2-plectic structures ⋮ Solutions of the Yang-Baxter equations on quadratic Lie groups: the case of oscillator groups ⋮ A homogeneous space–time model with singularities ⋮ Solutions of the classical Yang-Baxter equation and noncommutative deformations ⋮ Spectra of compact quotients of the oscillator group ⋮ Compact quotients of Cahen-Wallach spaces ⋮ The Lorentzian oscillator group as a geodesic orbit space ⋮ Some remarks on the oscillator group ⋮ Completeness of compact Lorentzian manifolds with abelian holonomy

Cites Work

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• Curvatures of left invariant metrics on Lie groups
• The representations of the oscillator group
• Flows on Homogeneous Spaces. (AM-53)

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