4 papers
On flat pseudo-Euclidean solvable Malcev algebras
Mohamed Boucetta, Hamza El Ouali, Oumaima Tibssirte
A pseudo-Euclidean Malcev algebra is a Malcev algebra equipped with a non-degenerate symmetric bilinear form. In this paper, we introduce a curvature operator for pseudo-Euclidean…
Einstein Lorentzian solvable unimodular Lie groups
Oumaima Tibssirte
The goal of this paper is to show that many key results found in the study of Einstein Lorentzian nilpotent Lie algebras can still hold in the more general settings of unimodular L…
Classification of Einstein Lorentzian 3-nilpotent Lie groups with 1-dimensional nondegenerate center
Mohamed Boucetta, Oumaima Tibssirte
We give a complete classification of Einstein Lorentzian 3-nilpotent simply connected Lie groups with 1-dimensional nondegenerate center.
On Einstein Lorentzian nilpotent Lie groups
Mohamed Boucetta, Oumaima Tibssirte
In this paper, we study Lorentzian left invariant Einstein metrics on nilpotent Lie groups. We show that if the center of such Lie groups is degenerate then they are Ricci-flat and…