A Product Twistor Space

Blair, David. "A Product Twistor Space." Serdica Mathematical Journal 28.2 (2002): 163-174. <http://eudml.org/doc/11553>.

@article{Blair2002,
abstract = {∗Research supported in part by NSF grant INT-9903302.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.},
author = {Blair, David},
journal = {Serdica Mathematical Journal},
keywords = {Almost Product Structures; Almost Quaternionic Structures of the Second Kind; Product Twistor Space; Almost product structures; product twistor space; paraquaternionic Kähler manifold},
language = {eng},
number = {2},
pages = {163-174},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Product Twistor Space},
url = {http://eudml.org/doc/11553},
volume = {28},
year = {2002},
}

TY - JOUR
AU - Blair, David
TI - A Product Twistor Space
JO - Serdica Mathematical Journal
PY - 2002
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 28
IS - 2
SP - 163
EP - 174
AB - ∗Research supported in part by NSF grant INT-9903302.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.
LA - eng
KW - Almost Product Structures; Almost Quaternionic Structures of the Second Kind; Product Twistor Space; Almost product structures; product twistor space; paraquaternionic Kähler manifold
UR - http://eudml.org/doc/11553
ER -