Resumen de Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

M. Salah Baouendi, Peter Ebenfelt, Xiaojun Huang

• We consider holomorphic mappings sending a given Levi-nondegenerate pseudoconcave hypersurface M in into a nondegenerate hyperquadric of the same signature in and show that if M is sufficiently close to a hyperquadric in a certain sense, then any two such mappings differ only by an automorphism of the hyperquadric.