27 citations · 98 across the 43 of their papers we have counts for
53 papers
On Lorentzian Lie groups of Nonzero Constant Curvature
Mohamed Boucetta
We investigate Lie groups endowed with left-invariant Lorentzian metrics of nonzero constant sectional curvature. We first revisit Heintze's theory and obtain a characterization of…
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…
Flat Lorentzian Lie groups: A complete description
Mohamed Boucetta
In this paper, we establish a complete structural description of flat Lorentzian Lie groups, i.e., Lie groups endowed with a flat left invariant Lorentzian metric, thereby resolvin…
Cyclic Riemannian Lie groups: description and curvatures
Fatima-Ezzahrae Abid, Said Benayadi, Mohamed Boucetta +2
A cyclic Riemannian Lie group is a Lie group equipped with a left-invariant Riemannian metric that satisfies for any left-invariant vector field…
Real Left-Symmetric Algebras with Positive Definite Koszul Form and Kähler-Einstein Structures
Mohamed Boucetta, Hasna Essoufi
Let be a real left symmetric algebra, and the corresponding Lie algebra. We denote by the left multiplication operator ass…
Kenmotsu LIe groups
Mohamed Boucetta
Kenmotsu manifolds constitute an important subclass of the class of contact Riemannian manifolds. In this note, we determine entirely connected and simply-connected Lie groups havi…