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math.DG2025
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.DG2023★ 2 cited
On closed geodesics in Lorentz manifolds
Souheib Allout, Abderrahmane Belkacem, Abdelghani Zeghib
We construct compact Lorentz manifolds without closed geodesics.
math.DG2022★ 1 cited
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…