The twistor space of a quaternionic contact manifold
Differential Geometry
2011-07-07 v2 High Energy Physics - Theory
Abstract
We show that the CR structure on the twistor space of a quaternionic contact structure described by Biquard is normal if and only if the Ricci curvature of the Biquard connection commutes with the endomorphisms in the quaternionic structure of the contact distribution.
Keywords
Cite
@article{arxiv.1010.4994,
title = {The twistor space of a quaternionic contact manifold},
author = {Johann Davidov and Stefan Ivanov and Ivan Minchev},
journal= {arXiv preprint arXiv:1010.4994},
year = {2011}
}
Comments
15pages, LaTeX2e, typos corrected, final version to appear in Quart. J. Math. (Oxford)