3 papers
math.DG2025
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…
math.DG2025
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…
math.DG2024
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…