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.
Twistor Theory for co-CR quaternionic manifolds and related structures / Marchiafava, Stefano; Pantilie, R.. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - ELETTRONICO. - (In corso di stampa), pp. 1-25.
Twistor Theory for co-CR quaternionic manifolds and related structures
MARCHIAFAVA, Stefano;
In corso di stampa
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.File allegati a questo prodotto
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