The CR Paneitz operator and the stability of CR pluriharmonic functions

Jeffrey S. Case, Sagun Chanillo, Paul Yang

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We give a condition which ensures that the Paneitz operator of an embedded three-dimensional CR manifold is nonnegative and has kernel consisting only of the CR pluriharmonic functions. Our condition requires uniform positivity of the Webster scalar curvature and the stability of the CR pluriharmonic functions for a real analytic deformation. As an application, we show that the real ellipsoids in C2 are such that the CR Paneitz operator is nonnegative with kernel consisting only of the CR pluriharmonic functions.

Original languageEnglish (US)
Pages (from-to)109-122
Number of pages14
JournalAdvances in Mathematics
Volume287
DOIs
StatePublished - Jan 10 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • CR Paneitz operator
  • CR pluriharmonic functions
  • Stability

Fingerprint Dive into the research topics of 'The CR Paneitz operator and the stability of CR pluriharmonic functions'. Together they form a unique fingerprint.

  • Cite this