Stationary discs and geometry of CR manifolds of codimension two

A. Sukhov, A. Tumanov

Research output: Contribution to journalArticlepeer-review

Abstract

We give a construction of stationary discs and the indicatrix for manifolds of higher codimension which is a partial analog of L. Lempert's theory of stationary discs for strictly convex hypersurfaces. This leads to new invariants of the CR structure in higher codimension linked with the contact structure of the conormal bundle.

Original languageEnglish (US)
Pages (from-to)877-890
Number of pages14
JournalInternational Journal of Mathematics
Volume12
Issue number8
DOIs
StatePublished - Jan 2001

Keywords

  • Conormal bundle
  • Contact structure
  • Indicatrix
  • Maslov index
  • Stationary disc

ASJC Scopus subject areas

  • General Mathematics

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