2006/01/31 by Olivier Biquard, Biquard, Olivier
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.math/0601754
openalex publication_date 2006/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.