%0 Journal Article
%T Invariant strong KT geometry on four-dimensional solvable Lie groups
%A Thomas Bruun Madsen
%A Andrew Swann
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0911.0535v1