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. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

We have proven 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. This conditions for this rigidity include the manifold having a nonnegative CR Paneitz operator and positive Webster curvature.