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arXiv · 1106.5431

Twistor Theory for co-CR quaternionic manifolds and related structures

Stefano Marchiafava·Radu Pantilie
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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.

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Stefano Marchiafava, Radu Pantilie. 2011-06-27. Twistor Theory for co-CR quaternionic manifolds and related structures. https://arxiv.org/abs/1106.5431

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