The twistor space of a quaternionic contact manifold

Details The twistor space of a quaternionic contact manifold The twistor space of a quaternionic contact manifold

2010-10-24

arxiv.org/abs/1010.4994v2

Mathematics

Differential Geometry

15pages, LaTeX2e, typos corrected, final version to appear in Quart. J. Math. (Oxford)

Scientific paper

We show that the CR structure on the twistor space of a quaternionic contact
structure described by Biquard is normal if and only if the Ricci curvature of
the Biquard connection commutes with the endomorphisms in the quaternionic
structure of the contact distribution.

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