20 citations · 21 across the 4 of their papers we have counts for
6 papers
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…
Flat symplectic Lie algebras
Mohamed Boucetta, Hamza El Ouali, Hicham Lebzioui
Let be a symplectic Lie group, i.e, a Lie group endowed with a left invariant symplectic form. If $\G$ is the Lie algebra of then we call $(\G,ω=\Om(e))$ a symplectic L…
On Flat Pseudo-Euclidean Nilpotent Lie Algebras
Mohamed Boucetta, Hicham Lebzioui
A flat pseudo-Euclidean Lie algebra is a real Lie algebra with a non degenerate symmetric bilinear form and a left symmetric product whose the commutator is the Lie bracket and suc…
Nonunimodular Lorentzian flat Lie algebras
Mohamed Boucetta, Hicham Lebzioui
A Lorentzian flat Lie group is a Lie group with a flat left invariant metric with signature . The Lie algebra of endowed wit…
Lorentzian Flat Lie Groups Admitting a Timelike Left-Invariant Killing Vector Field
Hicham Lebzioui
We call a connected Lie group endowed with a left-invariant Lorentzian flat metric Lorentzian flat Lie group. In this Note, we determine all Lorentzian flat Lie groups admitting a…
Left-invariant Lorentzian flat metrics on Lie groups
Malika Aitbenhaddou, Mohamed Boucetta, Hicham Lebzioui
We call the Lie algebra of a Lie group with a left invariant pseudo-Riemannian flat metric pseudo-Riemannian flat Lie algebra. We give a new proof of a classical result of Milnor o…