On symplectically fat twistor bundles
Mathematical Physics
2015-08-11 v2 math.MP
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.
Cite
@article{arxiv.1409.7543,
title = {On symplectically fat twistor bundles},
author = {Maciej Bochenski and Anna Szczepkowska and Aleksy Tralle and Artur Woike},
journal= {arXiv preprint arXiv:1409.7543},
year = {2015}
}
Comments
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