Twistor Theory for co-CR quaternionic manifolds and related structures
Differential Geometry
2011-06-28 v1
Abstract
In a general and non metrical framework, we introduce the class of co-CR quaternionic manifolds, which contains the class of quaternionic manifolds, whilst in dimension three it particularizes to give the Einstein-Weyl spaces. We show that these manifolds have a rich natural Twistor Theory and, along the way, we obtain a heaven space construction for quaternionic-Kaehler manifolds.
Cite
@article{arxiv.1106.5431,
title = {Twistor Theory for co-CR quaternionic manifolds and related structures},
author = {Stefano Marchiafava and Radu Pantilie},
journal= {arXiv preprint arXiv:1106.5431},
year = {2011}
}
Comments
19 pages