## Aspects symplectiques de la géométrie quaternionique. (Symplectic aspects of quaternionic geometry).(French)Zbl 0661.53023

The vanishing of the exterior derivative of the fundamental 4-form $$\Omega$$ of a quaternion-Hermitian manifold M, dim $$M\geq 12$$, implies that $$\Omega$$ is parallel. Quaternionic Kähler manifolds are included in the theory of hyperKähler manifolds in such a way that generalised symplectic reductions are preserved.

### MSC:

 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53B35 Local differential geometry of Hermitian and Kählerian structures