4.5 Article

AN INTEGRAL FORMULA FOR THE Q-PRIME CURVATURE IN 3-DIMENSIONAL CR GEOMETRY

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 147, Issue 4, Pages 1577-1586

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/proc/14328

Keywords

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Funding

  1. Simons Foundation [524601]
  2. Ministry of Science and Technology of Taiwan, R.O.C. [MOST 106-2115-M-001-013]
  3. NSF [DMS-1509505]

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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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