The Lichnerowicz--Obata theorem for the Kohn Laplacian in three dimensions
Differential Geometry
2020-06-11 v1 Analysis of PDEs
Complex Variables
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.
Keywords
Cite
@article{arxiv.2006.05950,
title = {The Lichnerowicz--Obata theorem for the Kohn Laplacian in three dimensions},
author = {Jeffrey S. Case and Paul Yang},
journal= {arXiv preprint arXiv:2006.05950},
year = {2020}
}
Comments
6 pages