28 citations · 29 across the 7 of their papers we have counts for
4 papers · 1 filter
Fundamental group of compact decent spacetimes with lightlike hypersurface curvature
Raymond Hounnonkpe, Siba Kalivogui
In this paper, we study the fundamental group of compact de cent 4-dimensional spacetimes with lightlike hypersurface curvature. Such manifolds are foliated by totally geodesic nul…
Killing Vectors and Bochner-Type Theorems in Pseudo-Riemannian Hom-Lie Algebras
Raymond Hounnonkpe, Ibrahima Bakayoko, Emmanuel Gnandi +1
In this paper, we study pseudo-Riemannian Hom-Lie algebras. We establish Hom-versions of the classical Bochner theorem in both the Riemannian and Lorentzian settings. Finally, we p…
On the parity of the Betti numbers of 3-manifolds with a parallel vector field
Emmanuel Gnandi, Raymond A. Hounnonkpe
The question of whether a closed, orientable manifold can admit a nontrivial vector field that is parallel with respect to some Riemannian metric is a classical problem in Differen…
Riemannian flow techniques on totally geodesic null hypersurfaces
Manuel Gutiérrez, Raymond A. Hounnonkpe
We study the influence of the existence of totally geodesic null hypersurface on the properties of a Lorentzian manifold. By coupling the rigging technique with the existence of a…