Tamed symplectic forms and generalized geometry

JOURNAL OF GEOMETRY AND PHYSICS

卷:71

Article

Enrietti, Nicola¹  Fino, Anna¹  Grantcharov, Gueo² 

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA

关键词: Symplectic form;    Complex structure;    Tamed;    Generalized complex structure;    Twisted Poisson structure;   

DOI  :  10.1016/j.geomphys.2013.04.006

来源: Elsevier

【 摘 要 】

We show that symplectic forms taming complex structures on compact manifolds are related to special types of almost generalized Kahler structures. By considering the commutator Q of the two associated almost complex structures J(+/-), 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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free