5 papers
Locally conformally homogeneous Lorentzian spaces
Thomas Leistner, Lilia Mehidi, Abdelghani Zeghib
We study locally conformally homogeneous Lorentzian manifolds of dimension at least , admitting an essential pseudo-group of local conformal transformations. Generalizing a rece…
Introduction to Kundt spaces
Lilia Mehidi, Abdelghani Zeghib
This paper provides an introduction to Kundt spaces, clarifying several important properties, many of which are typically scattered across the mathematical literature or presented…
On completeness of foliated structures, and null Killing fields
Malek Hanounah, Lilia Mehidi
We consider a compact manifold with a foliation , and a smooth affine connection on the tangent bundle of the foliation . W…
On homogeneous plane waves
Malek Hanounah, Lilia Mehidi, Abdelghani Zeghib
Plane waves are a special class of Lorentzian spaces with a parallel null vector field. They are of great importance in Geometry (e.g. Lorentzian holonomy) and in Physics (General…
Topology and Dynamics of compact plane waves
Malek Hanounah, Ines Kath, Lilia Mehidi +1
We study compact locally homogeneous plane waves. Such a manifold is a quotient of a homogeneous plane wave by a discrete subgroup of its isometry group. This quotient is calle…