CR submanifolds with vanishing second fundamental forms

Yuan Yuan, Yuan Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper, we show that all CR immersions from smooth Levi-nondegenerate hypersurfaces into hyperquadrics with vanishing CR second fundamental forms are necessarily linear fractional.

Original languageEnglish (US)
Pages (from-to)169-180
Number of pages12
JournalGeometriae Dedicata
Issue number1
StatePublished - Aug 1 2016


  • CR immersion
  • CR second fundamental form
  • Levi-nondegenerate
  • Rigidity

ASJC Scopus subject areas

  • Geometry and Topology

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