Almost Product Structures Almost Quaternionic Structures of the Second Kind Product Twistor Space
Issue Date:
2002
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 28, No 2, (2002), 163p-174p
Abstract:
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.
Description:
∗Research supported in part by NSF grant INT-9903302.
