Sur les varietes CR de dimension 3 et les twisteurs
classification
🧮 math.DG
keywords
analyticboundaryconstructioncurvesdefineddimensioneinsteininfinity
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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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