A. Abouqateb

collaborators

3 papers

math.DG2026

A complete description of solvable symplectic Lie algebras

Abdelhak Abouqateb, SaÃ¯d Benayadi, Othmane Dani

In this paper, we present a complete characterization of solvable symplectic Lie algebras via a symplectic double extension process. We demonstrate that any such algebra is either…

math.DG2025

Some invariant connections on symplectic reductive homogeneous spaces

Abdelhak Abouqateb, Othmane Dani

A symplectic reductive homogeneous space is a pair $(G / H, I^c ◯)$ , where $G / H$ is a reductive homogeneous $G$ -space and $I^c ◯$ is a $G$ -invariant symplectic form on it. The main examples…

math.DG2025

Invariant Poisson Structures on Homogeneous Manifolds: Algebraic Characterization, Symplectic Foliation, and Contravariant Connections

Abdelhak Abouqateb, Charif Bourzik

In this paper, we study invariant Poisson structures on homogeneous manifolds, which serve as a natural generalization of homogeneous symplectic manifolds previously explored in th…