Hyperbolic Twistor Spaces
Copyright policy )Hyperbolic Twistor Spaces
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.
LaTeX, 22 pages, to appear in Rocky Mountain J.Math
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
- Michigan State University United States
neutral metrics, Mathematics - Differential Geometry, Almost paraquaternionic structures, hyperbolic twistor spaces, 53C50, 53C26, 53c26, 53C28, 32L25, Differential Geometry (math.DG), holomorphic functions, FOS: Mathematics, 53C28; 32L25; 53c26
neutral metrics, Mathematics - Differential Geometry, Almost paraquaternionic structures, hyperbolic twistor spaces, 53C50, 53C26, 53c26, 53C28, 32L25, Differential Geometry (math.DG), holomorphic functions, FOS: Mathematics, 53C28; 32L25; 53c26
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