A CR twistor space of a G2-manifold

Details A CR twistor space of a G2-manifold A CR twistor space of a G2-manifold

2010-03-16

arxiv.org/abs/1003.3170v2

Differ.Geom.Appl.29:101-107,2011

Mathematics

Differential Geometry

14 pages, v. 2.0, a few misprints corrected, final version before the publication

Scientific paper

10.1016/j.difgeo.2010.11.004

Let M be a G2-manifold. We consider an almost CR-structure on the sphere
bundle of unit tangent vectors on M, called the CR twistor space. This
CR-structure is integrable if and only if M is a holonomy G2 manifold. We
interpret G2-instanton bundles as CR-holomorphic bundles on its twistor space.

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