An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry
Complex Variables
2017-09-19 v1 Differential Geometry
Abstract
We give an integral formula for the total -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 -operator.
Keywords
Cite
@article{arxiv.1709.05367,
title = {An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry},
author = {Jeffrey S. Case and Jih-Hsin Cheng and Paul Yang},
journal= {arXiv preprint arXiv:1709.05367},
year = {2017}
}
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11 pages