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arXiv 2011-06-27 0 views

Twistor Theory for co-CR quaternionic manifolds and related structures

Marchiafava, Stefano · Pantilie, Radu

Original · EN

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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