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

Jeffrey S. Case; Jih-Hsin Cheng; Paul Yang

arxiv: 1709.05367 · v1 · pith:4WOWFEKBnew · submitted 2017-09-15 · 🧮 math.CV · math.DG

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

Jeffrey S. Case , Jih-Hsin Cheng , Paul Yang This is my paper

classification 🧮 math.CV math.DG

keywords primecurvatureformulaintegraloperatorconstantderivationdimensional

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

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