TY - JOUR
T1 - Twisting Hermitian and hypercomplex geometries
AU - Swann, Andrew
PY - 2010/11/1
Y1 - 2010/11/1
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=78049315336&partnerID=8YFLogxK
U2 - 10.1215/00127094-2010-059
DO - 10.1215/00127094-2010-059
M3 - Journal article
AN - SCOPUS:78049315336
SN - 0012-7094
VL - 155
SP - 403
EP - 431
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 2
ER -