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

2017/09/15 by Case, Jeffrey S., Cheng, Jih-Hsin, Yang, Paul
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.05367

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.

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