Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898480 | Journal of Geometry and Physics | 2015 | 10 Pages |
Abstract
We characterize HKT structures in terms of a nondegenerate complex Poisson bivector on a hypercomplex manifold. We extend the characterization to the twistor space. After considering the flat case in detail, we show that the twistor space of a hyperkähler manifold admits a holomorphic Poisson structure. We briefly mention the relation to quaternionic and hypercomplex deformations on tori and K3 surfaces.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Gueo Grantcharov, Lisandra Hernandez-Vazquez,