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math.DG2026
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…
math.DG2025
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…
math.DG2024
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…