Every real ellipsoid in ℂ2 admits CR umbilical points

Xiaojun Huang, Shanyu Ji

Research output: Contribution to journalArticle

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We prove that every real ellipsoid M ⊂ ℂ2 admits at least four umbilical points, which can be compared to the result ofWebster that a generic real ellipsoid in ℂn with n ≥ 3 does not admit any umbilical point.

Original languageEnglish (US)
Pages (from-to)1191-1204
Number of pages14
JournalTransactions of the American Mathematical Society
Issue number3
StatePublished - Mar 1 2007


All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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