Add to ORKGWe revisit the classification of Lorentz homogeneous spaces of dimension 3, fixing statements in the literature and relaxing usual completeness assumptions. In particular, elliptic plane waves, and only them, are neither locally symmetric nor locally isometric to a left invariant Lorentz metric on a 3-dimensional Lie group. We characterize homogeneous plane waves, and prove they are non-extendable, and geodesically complete only if they are symmetric. Finally, only one non-flat plane wave has a compact model
We describe a global model for Lorentzian symmetric three-spaces admitting a parallel null vector fi...
We address the problem of finding conditions under which a compact Lorentzian manifold is geodesical...
We consider three-dimensional unimodular Lie groups equipped with a Lorentzian metric and we determ...
We revisit the classification of Lorentz homogeneous spaces of dimension 3, fixing statements in the...
We show that a Lorentzian homogeneous space admitting a homogeneous structure of type T1 + T3 is eit...
We prove that any non-symmetric three-dimensional homogeneous Lorentzian manifold is isometric to a ...
A three-dimensional homogeneous Lorentzian manifold is either symmetric or locally isometric to a Li...
A pseudo-Riemannian manifold (M, g) is homogeneous provided that, for any points p, q ∈ M, there is ...
We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous g...
We determine, for all three-dimensional non-unimodular Lie groups equipped with a Lorentzian metric...
A. Z. Petrov gave a complete list of all local group actions on a four-dimensional space-time that a...
In four spacetime dimensions gravitational plane waves (a special case of the plane-fronted waves wi...
ABSTRACT. We show that a germ of a real analytic Lorentz metric on R3 which is locally homogeneous o...
We classify simply-connected homogeneous (D +1)-dimensional spacetimes for kinematical and aristotel...
It is shown that a homogeneous Lorentzian space for which every null- geodesic is canonically homoge...
We describe a global model for Lorentzian symmetric three-spaces admitting a parallel null vector fi...
We address the problem of finding conditions under which a compact Lorentzian manifold is geodesical...
We consider three-dimensional unimodular Lie groups equipped with a Lorentzian metric and we determ...
We revisit the classification of Lorentz homogeneous spaces of dimension 3, fixing statements in the...
We show that a Lorentzian homogeneous space admitting a homogeneous structure of type T1 + T3 is eit...
We prove that any non-symmetric three-dimensional homogeneous Lorentzian manifold is isometric to a ...
A three-dimensional homogeneous Lorentzian manifold is either symmetric or locally isometric to a Li...
A pseudo-Riemannian manifold (M, g) is homogeneous provided that, for any points p, q ∈ M, there is ...
We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous g...
We determine, for all three-dimensional non-unimodular Lie groups equipped with a Lorentzian metric...
A. Z. Petrov gave a complete list of all local group actions on a four-dimensional space-time that a...
In four spacetime dimensions gravitational plane waves (a special case of the plane-fronted waves wi...
ABSTRACT. We show that a germ of a real analytic Lorentz metric on R3 which is locally homogeneous o...
We classify simply-connected homogeneous (D +1)-dimensional spacetimes for kinematical and aristotel...
It is shown that a homogeneous Lorentzian space for which every null- geodesic is canonically homoge...
We describe a global model for Lorentzian symmetric three-spaces admitting a parallel null vector fi...
We address the problem of finding conditions under which a compact Lorentzian manifold is geodesical...
We consider three-dimensional unimodular Lie groups equipped with a Lorentzian metric and we determ...