Twisting Hermitian and hypercomplex geometries
Differential Geometry
2019-12-19 v1 High Energy Physics - Theory
Abstract
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 .
Cite
@article{arxiv.0812.2780,
title = {Twisting Hermitian and hypercomplex geometries},
author = {Andrew Swann},
journal= {arXiv preprint arXiv:0812.2780},
year = {2019}
}
Comments
27 pages