In a general and nonmetrical 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. © 2011 Springer-Verlag.
Twistor theory for CR quaternionic manifolds and related structures / Marchiafava, Stefano; L., Ornea; R., Pantilie. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - STAMPA. - 167:3-4(2012), pp. 531-545. [10.1007/s00605-011-0326-0]
Twistor theory for CR quaternionic manifolds and related structures
MARCHIAFAVA, Stefano;
2012
Abstract
In a general and nonmetrical 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. © 2011 Springer-Verlag.File allegati a questo prodotto
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