Abstract: Abstract We prove a symplectic analogue of A-directed immersion theorem for exact symplectic manifolds and generalize this result to closed manifolds under a completeness hypothesis. As an application we have derived a sufficient condition for the existence of a Poisson structure on an exact symplectic manifold with a codimension-2 q characteristic foliation such that the Poisson structure is induced from the ambient symplectic structure.
Publication Year: 2015
Publication Date: 2015-07-20
Language: en
Type: preprint
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