On curvature constructions of symplectic forms
Volume 93 / 2011
Banach Center Publications 93 (2011), 261-269
MSC: Primary 53D05; Secondary 57R17.
DOI: 10.4064/bc93-0-21
Abstract
We generalize the result of Lerman [Letters Math. Phys. 15 (1988)] concerning the condition of fatness of the canonical connection in a certain principal fibre bundle. We also describe new classes of symplectically fat bundles: twistor budles over spheres, bundles over quaternionic Kähler homogeneous spaces and locally homogeneous complex manifolds.
