Othmane Dani

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20232026

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math.DG2026

A complete description of solvable symplectic Lie algebras

Abdelhak Abouqateb, Saïd 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 $(G / H, Ω)$ , where $G / H$ is a reductive homogeneous $G$ -space and $Ω$ is a $G$ -invariant symplectic form on it. The main examples i…

math.DG2023

Special Affine Connections on Symmetric Spaces

Othmane Dani, Abdelhak Abouqateb

Let $(G, H, σ)$ be a symmetric pair and $g = m \oplus h$ the canonical decomposition of the Lie algebra $g$ of $G$ . We denote by $\nabla^{0}$ …