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On nondegenerate coupling forms
Authors:Jarek Kȩdra  Aleksy Tralle  Artur Woike
Affiliation:1. University of Aberdeen, United Kingdom;2. University of Szczecin, Poland;3. University of Warmia and Mazury in Olsztyn, Poland
Abstract:The aim of the present paper is to investigate new classes of symplectically fat fibre bundles. We prove a general existence theorem for fat vectors with respect to the canonical invariant connections. Based on this result we give new proofs of some constructions of symplectic structures. This includes twistor bundles and locally homogeneous complex manifolds. The proofs are conceptually simpler and allow for obtaining more general results.
Keywords:Fat bundle   Twistor bundle   Locally homogeneous complex manifold   Symplectic structure
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