%0 Journal Article
%T Twisting Hermitian and hypercomplex geometries
%A Andrew Swann
%J Mathematics
%D 2008
%I arXiv
%X A twist construction for manifolds with torus action is described generalising certain T-duality examples and constructions in hypercomplex geometry. It is applied to complex, SKT, hypercomplex and HKT manifolds to construct compact simply-connected examples. In particular, we find hypercomplex manifolds that admit no compatible HKT metric, and HKT manifolds whose Obata connection has holonomy contained in $SL(n,\mathbb H)$.
%U http://arxiv.org/abs/0812.2780v1