The Diederich–Fornæss Exponent and Non-existence of Stein Domains with Levi-Flat Boundaries

Siqi Fu, Mei Chi Shaw

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We study the Diederich–Fornæss exponent and relate it to non-existence of Stein domains with Levi-flat boundaries in complex manifolds. In particular, we prove that if the Diederich–Fornæss exponent of a smooth bounded Stein domain in an n-dimensional complex manifold is greater than k/n, then it has a boundary point at which the Levi-form has rank greater than or equal to k.

Original languageEnglish (US)
Pages (from-to)220-230
Number of pages11
JournalJournal of Geometric Analysis
Volume26
Issue number1
DOIs
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Diederich–Fornaess exponent
  • Levi-flat hypersurface
  • Oka property
  • Stein manifold

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