Twisting Hermitian and hypercomplex geometries
Swann, Andrew
Duke Math. J., Volume 151 (2010) no. 1, p. 403-431 / Harvested from Project Euclid
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A twist construction for manifolds with torus action is described generalizing 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 ${\rm SL}(n,\mathbb H)$ .
Published online : 2010-11-01
Classification:  53C55,  53C25,  53C29,  57S25,  32C37 
@article{1288185460,
     author = {Swann, Andrew},
     title = {Twisting Hermitian and hypercomplex geometries},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 403-431},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1288185460}
}

Swann, Andrew. Twisting Hermitian and hypercomplex geometries. Duke Math. J., Volume 151 (2010) no. 1, pp.  403-431. http://gdmltest.u-ga.fr/item/1288185460/