# A Product Twistor Space

Serdica Mathematical Journal (2002)

- Volume: 28, Issue: 2, page 163-174
- ISSN: 1310-6600

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topBlair, 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 -

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