English

Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures

Differential Geometry 2018-02-15 v2 Complex Variables

Abstract

We prove that the total CR QQ-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the PP^\prime-operator and the CR invariance of the total QQ^\prime-curvature for any pseudo-Einstein manifold without the assumption that it bounds a Stein manifold.

Keywords

Cite

@article{arxiv.1711.01724,
  title  = {Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures},
  author = {Taiji Marugame},
  journal= {arXiv preprint arXiv:1711.01724},
  year   = {2018}
}