Estimates of invariant metrics on pseudoconvex domains near boundaries with constant levi ranks

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Abstract

Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given. As a consequence, a characterization of Levi-flatness in terms of boundary behavior of the Bergman and Kobayashi metrics is obtained.

Original languageEnglish (US)
Pages (from-to)32-46
Number of pages15
JournalJournal of Geometric Analysis
Volume24
Issue number1
DOIs
StatePublished - Jan 1 2014

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Bergman kernel
  • Invariant metrics
  • Levi foliation
  • Levi form
  • Plurisubharmonic function

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