Some invariant connections on symplectic reductive homogeneous spaces

Abdelhak Abouqateb, Othmane Dani

A symplectic reductive homogeneous space is a pair $(G/H,\Omega )$, where $G/H$ is a reductive homogeneous $G$-space and $\Omega$ is a $G$-invariant symplectic form on it. The main examples i…