### 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 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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## Cite this

Case, J. S., Cheng, J. H., & Yang, P. (2018). An integral formula for the q-prime curvature in 3-dimensional cr geometry.

*Proceedings of the American Mathematical Society*,*147*(4), 1577-1586. https://doi.org/10.1090/proc/14328