TL;DR
This paper investigates new classes of symplectically fat fiber bundles, providing a general existence theorem for fat vectors and offering simpler proofs for symplectic structures on twistor bundles and complex manifolds.
Contribution
It introduces a general existence theorem for fat vectors, simplifying and extending the construction of symplectic structures on certain fiber bundles.
Findings
Proved a general existence theorem for fat vectors.
Provided new, simpler proofs for symplectic structures.
Extended results to twistor bundles and complex manifolds.
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.
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