This article is cited in 4 papers

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

Taiji Marugame

Institute of Mathematics, Academia Sinica, Astronomy-Mathematics Building, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan

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.

Keywords: CR manifolds; $Q$-curvature; $P^\prime$-operator; $Q^\prime$-curvature.

MSC: 32V05; 52T15

Received: November 9, 2017; in final form February 12, 2018; Published online February 14, 2018

Language: English

DOI: 10.3842/SIGMA.2018.010

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