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

3 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

Keywords

Eigenvalue
Kohn Laplacian
Pseudohermitian manifold
Rigidity

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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.",

keywords = "Eigenvalue, Kohn Laplacian, Pseudohermitian manifold, Rigidity",

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

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

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doi = "10.1016/j.aim.2021.107618",

language = "English (US)",

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AU - Case, Jeffrey S.

AU - Yang, Paul

PY - 2021/4/16

Y1 - 2021/4/16

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.

KW - Eigenvalue

KW - Kohn Laplacian

KW - Pseudohermitian manifold

KW - Rigidity

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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

Keywords

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