Twistor theory for co-CR quaternionic manifolds and related structures |
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| Authors: | Stefano Marchiafava Radu Pantilie |
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| Institution: | 1. Dipartimento di Matematica, Istituto “Guido Castelnuovo”, Università degli Studi di Roma “La Sapienza”, Piazzale Aldo Moro, 2, I 00185, Roma, Italia
2. Institutul de Matematic? “Simion Stoilow” al Academiei Romane, C.P. 1-764, 014700, Bucure?ti, Romania
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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-Kähler manifolds. |
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