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arXiv · 1003.3170

A CR twistor space of a G2-manifold

Misha Verbitsky
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Abstract

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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Misha Verbitsky. 2010-10-16. A CR twistor space of a G2-manifold. https://doi.org/10.1016/j.difgeo.2010.11.004

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