Sur les varietes CR de dimension 3 et les twisteurs

Details Sur les varietes CR de dimension 3 et les twisteurs Sur les varietes CR de dimension 3 et les twisteurs

2006-01-31

arxiv.org/abs/math/0601754v2

Mathematics

Differential Geometry

Minor corrections. To appear in: Annales de l'Institut Fourier

Scientific paper

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.

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