English

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 QQ of the two associated almost complex structures J±J_{\pm}, we prove that if either the manifold is 4-dimensional or the distribution ImQ{Im} \, Q is involutive, then the manifold can be expressed locally as a disjoint union of twisted Poisson leaves.

Keywords

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}
}

Comments

17 pages

R2 v1 2026-06-21T19:49:51.812Z