Tamed Symplectic forms and Generalized Geometry

Details Tamed Symplectic forms and Generalized Geometry Tamed Symplectic forms and Generalized Geometry

2011-12-12

arxiv.org/abs/1112.2592v1

Mathematics

Differential Geometry

17 pages

Scientific paper

We show that symplectic forms taming complex structures on compact manifolds are related to special types of almost generalized K\"ahler structures. By considering the commutator $Q$ of the two associated almost complex structures $J_{\pm}$, we prove that if either the manifold is 4-dimensional or the distribution ${Im} \, Q$ is involutive, then the manifold can be expressed locally as a disjoint union of twisted Poisson leaves.

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