A Product Twistor Space
Serdica Mathematical Journal, Tome 28 (2002) no. 2, pp. 163-174
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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.
Keywords:
Almost Product Structures, Almost Quaternionic Structures of the Second Kind, Product Twistor Space
@article{SMJ2_2002_28_2_a4,
author = {Blair, David},
title = {A {Product} {Twistor} {Space}},
journal = {Serdica Mathematical Journal},
pages = {163--174},
year = {2002},
volume = {28},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2002_28_2_a4/}
}
Blair, David. A Product Twistor Space. Serdica Mathematical Journal, Tome 28 (2002) no. 2, pp. 163-174. http://geodesic.mathdoc.fr/item/SMJ2_2002_28_2_a4/