Twistor Theory for CR quaternionic manifolds and related structures
Differential Geometry
2011-06-28 v6
Abstract
In a general and non metrical framework, we introduce the class of CR quaternionic manifolds containing the class of quaternionic manifolds, whilst in dimension three it particularizes to, essentially, give the conformal manifolds. We show that these manifolds have a rich natural Twistor Theory and, along the way, we obtain a heaven space construction for quaternionic manifolds.
Cite
@article{arxiv.0905.1455,
title = {Twistor Theory for CR quaternionic manifolds and related structures},
author = {S. Marchiafava and L. Ornea and R. Pantilie},
journal= {arXiv preprint arXiv:0905.1455},
year = {2011}
}
Comments
The paper has been split into two parts: 1. S. Marchiafava, L. Ornea, R. Pantilie, Twistor Theory for CR quaternionic manifolds and related structures; 2. S. Marchiafava, R. Pantilie, Twistor Theory for co-CR quaternionic manifolds and related structures. This is the first part. The second part will, also, be posted on the ArXiv; Monatshefte fuer Mathematik, 2011