Sur les varietes CR de dimension 3 et les twisteurs
Abstract
Description
We prove that any real analytic strictly pseudoconvex CR 3-manifold is the boundary (at infinity) of a unique selfdual Einstein metric defined in a neighborhood. The proof uses a new construction of twistor space based on singular rational curves.
Minor corrections. To appear in: Annales de l'Institut Fourier
Minor corrections. To appear in: Annales de l'Institut Fourier