A Product Twistor Space
Summary: In previous work a hyperbolic twistor space over a paraquaternionic Kähler manifold was defined, the fibre being the hyperboloid model of the hyperbolic plane with constant curvature \(-1\). Two almost complex structures were defined on this twistor space and their properties studied. In the present paper we consider a twistor space over a paraquaternionic Kähler manifold with fibre given by the hyperboloid of 1-sheet, the anti-de-Sitter plane with constant curvature \(-1\). This twistor space admits two natural almost product structures, more precisely almost para-Hermitian structures, which form the objects of our study.
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Almost Product Structures, Twistor methods in differential geometry, Almost Quaternionic Structures of the Second Kind, General geometric structures on manifolds (almost complex, almost product structures, etc.), Almost product structures, paraquaternionic Kähler manifold, product twistor space, Product Twistor Space
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Almost Product Structures, Twistor methods in differential geometry, Almost Quaternionic Structures of the Second Kind, General geometric structures on manifolds (almost complex, almost product structures, etc.), Almost product structures, paraquaternionic Kähler manifold, product twistor space, Product Twistor Space
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