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

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.

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Work Title The Lichnerowicz--Obata theorem for the Kohn Laplacian in three dimensions
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Open Access
Creators
  1. Jeffrey S. Case
  2. Paul Yang
License CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
Work Type Article
Publisher
  1. Elsevier BV
Publication Date April 2021
Publisher Identifier (DOI)
  1. 10.1016/j.aim.2021.107618
Source
  1. Advances in Mathematics
Deposited September 09, 2021

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  • Added cr_kohn_obata-1.pdf
  • Added Creator Jeffrey S. Case
  • Added Creator Paul Yang
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