Invariant strong KT geometry on four-dimensional solvable Lie groups
Differential Geometry
2014-09-16 v1
Abstract
A strong KT (SKT) manifold consists of a Hermitian structure whose torsion three-form is closed. We classify the invariant SKT structures on four-dimensional solvable Lie groups. The classification includes solutions on groups that do not admit compact four-dimensional quotients. It also shows that there are solvable groups in dimension four that admit invariant complex structures but have no invariant SKT structure.
Cite
@article{arxiv.0911.0535,
title = {Invariant strong KT geometry on four-dimensional solvable Lie groups},
author = {Thomas Bruun Madsen and Andrew Swann},
journal= {arXiv preprint arXiv:0911.0535},
year = {2014}
}
Comments
17 pages