Hyperbolic Twistor Spaces

Details Hyperbolic Twistor Spaces Hyperbolic Twistor Spaces

2003-12-18

arxiv.org/abs/math/0312364v1

Mathematics

Differential Geometry

LaTeX, 22 pages, to appear in Rocky Mountain J.Math

Scientific paper

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.

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