Potential one-forms for hyperk\"ahler structures with torsion
Differential Geometry
2009-11-07 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
It is shown that an HKT-space with closed parallel potential 1-form has -symmetry. Every locally conformally hyperk\"ahler 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.
Cite
@article{arxiv.math/0211427,
title = {Potential one-forms for hyperk\"ahler structures with torsion},
author = {Liviu Ornea and Yat Sun Poon and Andrew Swann},
journal= {arXiv preprint arXiv:math/0211427},
year = {2009}
}
Comments
16 pages, Latex, no figures