2 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
On closed geodesics in Lorentz manifolds
Souheib Allout, Abderrahmane Belkacem, Abdelghani Zeghib
We construct compact Lorentz manifolds without closed geodesics.
On contact mapping classes of prequantizations
Souheib Allout, Murat Sağlam
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…
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…
On partially hyperbolic diffeomorphisms in dimension three via a notion of autonomous dynamics
Souheib Allout, Kambiz Moghaddamfar
We introduce a notion of autonomous dynamical systems and apply it to prove rigidity of partially hyperbolic diffeomorphisms on closed compact three-manifolds under some smoothness…