The Lichnerowicz–Obata theorem for the Kohn Laplacian in three dimensions

Jeffrey S. Case, Paul Yang

Research output: Contribution to journalArticlepeer-review

Abstract

We prove rigidity for the Lichnerowicz-type eigenvalue estimate for the Kohn Laplacian on strictly pseudoconvex three-manifolds with nonnegative CR Paneitz operator and positive Webster curvature.

Original languageEnglish (US)
Article number107618
JournalAdvances in Mathematics
Volume381
DOIs
StatePublished - Apr 16 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Eigenvalue
  • Kohn Laplacian
  • Pseudohermitian manifold
  • Rigidity

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