Potential one-forms for hyperkähler structures with torsion
arXiv:math/0211427 · doi:10.1088/0264-9381/20/9/317
Abstract
It is shown that an HKT-space with closed parallel potential 1-form has -symmetry. Every locally conformally hyperkähler manifold generates this type of geometry. The HKT-spaces with closed parallel potential 1-form arising in this way are characterized by their symmetries and an inhomogeneous cubic condition on their torsion.
16 pages, Latex, no figures