Hyperbolic Twistor Spaces
Differential Geometry
2007-05-23 v1
Abstract
In contrast to the classical twistor spaces whose fibres are 2-spheres, we introduce twistor spaces over manifolds with almost quaternionic structures of the second kind in the sense of P. Libermann whose fibres are hyperbolic planes. We discuss two natural almost complex structures on such a twistor space and their holomorphic functions.
Cite
@article{arxiv.math/0312364,
title = {Hyperbolic Twistor Spaces},
author = {D. E. Blair and J. Davidov and O. Mushkarov},
journal= {arXiv preprint arXiv:math/0312364},
year = {2007}
}
Comments
LaTeX, 22 pages, to appear in Rocky Mountain J.Math