### 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) |
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Pages (from-to) | 1577-1586 |

Number of pages | 10 |

Journal | Proceedings of the American Mathematical Society |

Volume | 147 |

Issue number | 4 |

DOIs | |

State | Published - Jan 1 2018 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*147*(4), 1577-1586. https://doi.org/10.1090/proc/14328

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*Proceedings of the American Mathematical Society*, vol. 147, no. 4, pp. 1577-1586. https://doi.org/10.1090/proc/14328

**An integral formula for the q-prime curvature in 3-dimensional cr geometry.** / Case, Jeffrey Steven; Cheng, Jih Hsin; Yang, Paul.

Research output: Contribution to journal › Article

TY - JOUR

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

AU - Case, Jeffrey Steven

AU - Cheng, Jih Hsin

AU - Yang, Paul

PY - 2018/1/1

Y1 - 2018/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=85062033140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062033140&partnerID=8YFLogxK

U2 - 10.1090/proc/14328

DO - 10.1090/proc/14328

M3 - Article

VL - 147

SP - 1577

EP - 1586

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -