A CR twistor space of a G2-manifold
arXiv:1003.3170 · doi:10.1016/j.difgeo.2010.11.004
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.
14 pages, v. 2.0, a few misprints corrected, final version before the publication