Integrable Complex Structures on Twistor Spaces

Steven Gindi

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arXiv · 1212.4138

Integrable Complex Structures on Twistor Spaces

Steven Gindi

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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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BibTeX RIS

Steven Gindi. 2012-12-17. Integrable Complex Structures on Twistor Spaces. https://arxiv.org/abs/1212.4138

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