Tamed Symplectic forms and Generalized Geometry
Differential Geometry
2011-12-13 v1
Abstract
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 of the two associated almost complex structures , we prove that if either the manifold is 4-dimensional or the distribution is involutive, then the manifold can be expressed locally as a disjoint union of twisted Poisson leaves.
Cite
@article{arxiv.1112.2592,
title = {Tamed Symplectic forms and Generalized Geometry},
author = {Nicola Enrietti and Anna Fino and Gueo Grantcharov},
journal= {arXiv preprint arXiv:1112.2592},
year = {2011}
}
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17 pages