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Twisting Hermitian and hypercomplex geometries

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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 SL(n,H).

OriginalsprogEngelsk
TidsskriftDuke Mathematical Journal
Vol/bind155
Nummer2
Sider (fra-til)403-431
Antal sider29
ISSN0012-7094
DOI
StatusUdgivet - 1 nov. 2010
Eksternt udgivetJa

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