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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-21, author = {Anna Szczepkowska and Aleksy Tralle and Artur Woike}, title = {On curvature constructions of symplectic forms}, journal = {Banach Center Publications}, volume = {95}, year = {2011}, pages = {261-269}, zbl = {1248.53061}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-21} }
Anna Szczepkowska; Aleksy Tralle; Artur Woike. On curvature constructions of symplectic forms. Banach Center Publications, Tome 95 (2011) pp. 261-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-21/