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arXiv:0812.2780 [math.DG]AbstractReferencesReviewsResources

Twisting Hermitian and hypercomplex geometries

Andrew Swann

Published 2008-12-15Version 1

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 $SL(n,\mathbb H)$.

Comments: 27 pages
Categories: math.DG, hep-th
Subjects: 53C55, 53C25, 53C29, 57S25, 32C37
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