Flatness of CR submanifolds in a sphere

Shan Yu Ji, Yuan Yuan

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In Euclidean geometry, for a real submanifold M in En+a, M is a piece of En if and only if its second fundamental form is identically zero. In projective geometry, for a complex submanifold M in ℂPn+a, M is a piece of ℂℚn if and only if its projective second fundamental form is identically zero. In CR geometry, we prove the CR analogue of this fact in this paper.

Original languageEnglish (US)
Pages (from-to)701-718
Number of pages18
JournalScience China Mathematics
Volume53
Issue number3
DOIs
StatePublished - May 18 2010
Externally publishedYes

Keywords

  • CR second fundamental form
  • CR submanifolds
  • Proper holomorphic mappings between balls
  • Sphere

ASJC Scopus subject areas

  • Mathematics(all)

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