3 papers
math.DG2026
Completeness of compact Locally symmetric Lorentz manifolds
Souheib Allout, Malek Hanounah
The geodesic completeness of compact locally symmetric Lorentz manifolds has been established in several important cases, namely, the constant curvature, indecomposable, and Brinkm…
math.DG2025
On homogeneous 3-dimensional spacetimes: focus on plane waves
Souheib Allout, Abderrahmane Belkacem, Abdelghani Zeghib
We revisit the classification of Lorentz homogeneous spaces of dimension , and relax usual completeness assumptions. In particular, non-unimodular elliptic plane waves, and only…
math.SG2024
On contact mapping classes of prequantizations
Souheib Allout, Murat SaÄlam
We present examples of prequantizations over integral symplectic manifolds which admit infinitely many smoothly trivial contact mapping classes. These classes are given by the conn…