Geometry of oscillator groups and locally symmetric manifolds

DOI10.1023/B:GEOM.0000033845.70512.13zbMath1088.53045MaRDI QIDQ1771167

B. Alberto Medina, A. Shirley Bromberg

Publication date: 7 April 2005

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

zbMATH Keywords

oscillator groupslocally affine manifoldslocally symmetric pseudo-Riemannian structures

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (9)

Oscillator spacetimes are Ricci solitons ⋮ Unnamed Item ⋮ A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms ⋮ Totally geodesic and parallel hypersurfaces of four-dimensional oscillator groups ⋮ Solutions of the Yang-Baxter equations on quadratic Lie groups: the case of oscillator groups ⋮ Vector fields dynamics as geodesic motion on Lie groups ⋮ Flat left-invariant pseudo-Riemannian metrics on quadratic Lie groups ⋮ The Lorentzian oscillator group as a geodesic orbit space ⋮ Some remarks on the oscillator group

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