Homogeneous Lorentzian structures on the oscillator groups
From MaRDI portal
Publication:1961708
DOI10.1007/s000130050403zbMath0954.53029OpenAlexW2034727122MaRDI QIDQ1961708
Pedro Martínez Gadea, Jose A. Oubina
Publication date: 8 February 2001
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10261/15840
Differential geometry of homogeneous manifolds (53C30) Structure and representation of the Lorentz group (22E43) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (21)
Kundt three-dimensional left invariant spacetimes ⋮ Oscillator spacetimes are Ricci solitons ⋮ Unnamed Item ⋮ On the symmetries of the Lorentzian oscillator group ⋮ A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms ⋮ Totally geodesic and parallel hypersurfaces of four-dimensional oscillator groups ⋮ Conformal Geometry of Semi-Direct Extensions of the Heisenberg Group ⋮ Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ On conformal geometry of four-dimensional generalized symmetric spaces ⋮ Harmonicity of vector fields on the oscillator groups with neutral signature ⋮ Homogeneous Lorentzian structures of 4-dimensional nilpotent Lie groups ⋮ Unnamed Item ⋮ Solutions of the Yang-Baxter equations on quadratic Lie groups: the case of oscillator groups ⋮ Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras ⋮ On semi-direct extensions of the Heisenberg group ⋮ Invariant harmonic unit vector fields on the oscillator groups ⋮ On the geometrical properties of Heisenberg groups ⋮ On the Finsler geometry of the Heisenberg group $H_{2n+1}$ and its extension ⋮ Four-dimensional naturally reductive pseudo-Riemannian spaces ⋮ The Lorentzian oscillator group as a geodesic orbit space ⋮ Some remarks on the oscillator group
This page was built for publication: Homogeneous Lorentzian structures on the oscillator groups
