Integrable Complex Structures on Twistor Spaces
Copyright policy )Integrable Complex Structures on Twistor Spaces
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.
- University of California, Riverside United States
Mathematics - Differential Geometry, Local differential geometry of Hermitian and Kählerian structures, Differential Geometry (math.DG), twistor spaces, HKT manifolds, bi-Hermitian manifolds, FOS: Mathematics, Twistor theory, double fibrations (complex-analytic aspects), SKT manifolds, Almost complex manifolds
Mathematics - Differential Geometry, Local differential geometry of Hermitian and Kählerian structures, Differential Geometry (math.DG), twistor spaces, HKT manifolds, bi-Hermitian manifolds, FOS: Mathematics, Twistor theory, double fibrations (complex-analytic aspects), SKT manifolds, Almost complex manifolds
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