Pseudohermitian Curvatures on Bounded Strictly Pseudoconvex Domains in C2

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Abstract

In this paper, we present a formula for pseudohermitian curvatures on bounded strictly pseudoconvex domains in C2 with respect to the coefficients of adapted frames given by Graham and Lee in [3] and their structure equations. As an application, we will show that the pseudohermitian curvatures on strictly plurisubharmonic exhaustions of Thullen domains diverges when the points converge to a weakly pseudoconvex boundary point of the domain.

Original languageEnglish
Pages (from-to)323-331
Number of pages9
JournalKyungpook Mathematical Journal
Volume62
Issue number2
DOIs
StatePublished - 2022

Keywords

  • Pseudohermitian manifolds
  • Thullen domains

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