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arXiv · 1112.2592

Tamed Symplectic forms and Generalized Geometry

Nicola Enrietti·Anna Fino·Gueo Grantcharov
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Abstract

We show that symplectic forms taming complex structures on compact manifolds are related to special types of almost generalized Kähler 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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Nicola Enrietti, Anna Fino, Gueo Grantcharov. 2011-12-12. Tamed Symplectic forms and Generalized Geometry. https://arxiv.org/abs/1112.2592

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