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Integrable Complex Structures on Twistor Spaces
Published 17 Dec 2012 in math.DG | (1212.4138v3)
Abstract: We introduce integrable complex structures on twistor spaces fibered over complex manifolds. We then show, in particular, that the twistor spaces associated with generalized Kahler, SKT and strong HKT manifolds all naturally admit complex structures. Moreover, in the strong HKT case we construct a metric and three compatible complex structures on the twistor space that have equal torsions.
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