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arxiv: 1711.01724 · v2 · pith:KIWOJ6NFnew · submitted 2017-11-06 · 🧮 math.DG · math.CV

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

classification 🧮 math.DG math.CV
keywords manifoldprimetotalcurvatureproveassumptionboundscompact
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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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