An integral formula for the 𝑄-prime curvature in 3-dimensional CR geometry

Case, Jeffrey; Cheng, Jih-Hsin; Yang, Paul

doi:10.1090/proc/14328

An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry
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by Jeffrey S. Case, Jih-Hsin Cheng and Paul Yang

Proc. Amer. Math. Soc. 147 (2019), 1577-1586

DOI: https://doi.org/10.1090/proc/14328

Published electronically: December 6, 2018

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Abstract:

We give an integral formula for the total $Q^\prime$-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 $P^\prime$-operator.

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