Integrable Complex Structures on Twistor Spaces
Differential Geometry
2018-11-22 v3
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.
Keywords
Cite
@article{arxiv.1212.4138,
title = {Integrable Complex Structures on Twistor Spaces},
author = {Steven Gindi},
journal= {arXiv preprint arXiv:1212.4138},
year = {2018}
}
Comments
New results on Hermitian properties of twistor spaces