Twistor Theory for CR quaternionic manifolds and related structures

Details Twistor Theory for CR quaternionic manifolds and related structures Twistor Theory for CR quaternionic manifolds and related structures

2009-05-10

arxiv.org/abs/0905.1455v6

Mathematics

Differential Geometry

The paper has been split into two parts: 1. S. Marchiafava, L. Ornea, R. Pantilie, Twistor Theory for CR quaternionic manifold

Scientific paper

10.1007/s00605-011-0326-0

In a general and non metrical 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.

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