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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 010, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.010 (Mi sigma1309) 		 
This article is cited in 4 scientific papers (total 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
Full-text PDF (313 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2018.010
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.
Received: November 9, 2017; in final form February 12, 2018; Published online February 14, 2018
Bibliographic databases:
Document Type: Article
MSC: 32V05; 52T15
Language: English
Citation: Taiji Marugame, “Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures”, SIGMA, 14 (2018), 010, 8 pp.
Citation in format AMSBIB
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\by Taiji~Marugame
\paper Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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