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

Jeffrey S. Case; Paul Yang

doi:10.1016/j.aim.2021.107618

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

Jeffrey S. Case
, Paul Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English (US)
Article number	107618
Journal	Advances in Mathematics
Volume	381
DOIs	https://doi.org/10.1016/j.aim.2021.107618
State	Published - Apr 16 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2021.107618

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title = "The Lichnerowicz–Obata theorem for the Kohn Laplacian in three dimensions",

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.",

author = "Case, \{Jeffrey S.\} and Paul Yang",

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AU - Yang, Paul

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N2 - 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.

AB - 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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JO - Advances in Mathematics

JF - Advances in Mathematics

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

Abstract

All Science Journal Classification (ASJC) codes

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