An integral formula for the q-prime curvature in 3-dimensional cr geometry

Jeffrey S. Case; Jih Hsin Cheng; Paul Yang

doi:10.1090/proc/14328

An integral formula for the q-prime curvature in 3-dimensional cr geometry

Jeffrey S. Case, Jih Hsin Cheng, Paul Yang

Mathematics

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

4 Scopus citations

Abstract

We give an integral formula for the total Q′-curvature of a three-dimensional CR manifold with positive CR Yamabe constant and nonnegative Paneitz operator. Our derivation includes a relationship between the Green’s functions of the CR Laplacian and the P ′-operator.

Original language	English (US)
Pages (from-to)	1577-1586
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	4
DOIs	https://doi.org/10.1090/proc/14328
State	Published - 2018

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/14328

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title = "An integral formula for the q-prime curvature in 3-dimensional cr geometry",

abstract = "We give an integral formula for the total Q′-curvature of a three-dimensional CR manifold with positive CR Yamabe constant and nonnegative Paneitz operator. Our derivation includes a relationship between the Green{\textquoteright}s functions of the CR Laplacian and the P ′-operator.",

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

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T1 - An integral formula for the q-prime curvature in 3-dimensional cr geometry

AU - Case, Jeffrey S.

AU - Cheng, Jih Hsin

AU - Yang, Paul

PY - 2018

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N2 - We give an integral formula for the total Q′-curvature of a three-dimensional CR manifold with positive CR Yamabe constant and nonnegative Paneitz operator. Our derivation includes a relationship between the Green’s functions of the CR Laplacian and the P ′-operator.

AB - We give an integral formula for the total Q′-curvature of a three-dimensional CR manifold with positive CR Yamabe constant and nonnegative Paneitz operator. Our derivation includes a relationship between the Green’s functions of the CR Laplacian and the P ′-operator.

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AN - SCOPUS:85062033140

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

An integral formula for the q-prime curvature in 3-dimensional cr geometry

Abstract

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