Poisson structures on twistor spaces of hyperkaehler and HKT manifolds
Differential Geometry
2015-05-20 v2
Abstract
We characterize HKT structure in terms of nondegenrate complex Poisson bivector on hypercomplex manifold. We extend the characterization to the twistor space. After considering the flat case in detail, we show that the twistor space of hyperkaehler manifold admits a holomorphic Poisson structure. We briefly mention the relation to quaternionic and hypercomplex deformations on tori and K3 surfaces
Keywords
Cite
@article{arxiv.1410.8854,
title = {Poisson structures on twistor spaces of hyperkaehler and HKT manifolds},
author = {Gueo Grantcharov and Lisandra Hernandez-Vazquez},
journal= {arXiv preprint arXiv:1410.8854},
year = {2015}
}
Comments
A new Section 6 and examples in Section 3 are added