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arXiv · 1711.01724

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

Taiji Marugame
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Abstract

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

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Taiji Marugame. 2017-11-06. Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures. https://doi.org/10.3842/sigma.2018.010

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