Twistor Theory for co-CR quaternionic manifolds and related structures

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

2011-06-27

arxiv.org/abs/1106.5431v1

Mathematics

Differential Geometry

19 pages

Scientific paper

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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