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/