Hamza El Ouali

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20222026

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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 $G$ equipped with a left-invariant Riemannian metric $h$ that satisfies $\oint_{X, Y, Z} h ([X, Y], Z) = 0$ for any left-invariant vector field…

math.DG2022

Flat symplectic Lie algebras

Mohamed Boucetta, Hamza El Ouali, Hicham Lebzioui

Let $(G, Ω)$ be a symplectic Lie group, i.e, a Lie group endowed with a left invariant symplectic form. If $\G$ is the Lie algebra of $G$ then we call $(\G,ω=\Om(e))$ a symplectic L…