Explores the integrability of a Lie algebra cocycle in symplectic manifolds, suggesting implications for symplectic diffeomorphisms.
Each even dimensional submanifold of a symplectic manifold defines a Lie algebra 2-cocycle on the Lie algebra of symplectic vector fields.We study its integrability to the group of symplectic diffeomorphisms.When the submanifold is symplectic, we describe a coadjoint orbit of the corresponding extension.
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C. Vizman (2009) studied this question.
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