Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

M. S. Baouendi, Peter Ebenfelt, Xiaojun Huang

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We consider holomorphic mappings sending a given Levi-nondegenerate pseudoconcave hypersurface M in Cn + 1 into a nondegenerate hyperquadric of the same signature in PCN + 1 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.

Original languageEnglish (US)
Pages (from-to)1427-1445
Number of pages19
JournalAdvances in Mathematics
Issue number5
StatePublished - Dec 1 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • Holomorphic mapping
  • Hyperquadric
  • Levi-nondegenerate
  • Projective space
  • Signature

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