Filling hypersurfaces by discs in almost complex manifolds of dimension 2

Alexandre Sukhov, Alexander Tumanov

Research output: Contribution to journalArticlepeer-review

Abstract

We study pseudoholomorphic discs with boundaries attached to a real hypersurface E in an almost complex manifold of dimension 2. We prove that if E contains no discs, then they fill a one sided neighborhood of E. Indiana University Mathematics Journal

Original languageEnglish (US)
Pages (from-to)509-544
Number of pages36
JournalIndiana University Mathematics Journal
Volume57
Issue number1
DOIs
StatePublished - 2008

Keywords

  • Almost complex manifold
  • Bishop disc

ASJC Scopus subject areas

  • General Mathematics

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