On symplectically fat twistor bundles

Abstract

This paper deals with the question when are twistor bundles over homogeneous spaces symplectically fat? It shows that twistor bundles over even dimensional Grassmannians of maximal rank have this property.

Corrected version. To prove the main result, we use the expression of fatness condition in terms of the isotropy representation related to the G-structure over some homogeneous spaces derived in our paper arxiv:1503.02511

References in corpus (3)

• Hyperbolic geometry and non-Kahler manifolds with trivial canonical bundle
• On nondegenerate coupling forms
• New constructions of symplectically fat fiber bundles