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CR Nirenberg problem and zero Wester scalar curvature

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Abstract

In this paper, we study the prescribing Webster scalar curvature problem on strictly pseudoconvex CR manifolds of real dimension \(2n+1\). First, we study the CR Nirenberg problem and prove some existence results. Second, we provide the existence and a positive lower bound for a solution of the CR Yamabe problem with zero Webster scalar curvature on noncompact complete manifolds.

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Acknowledgements

Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2011-0025674). Ho was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2019041021), and by Korea Institute for Advanced Study (KIAS) Grant funded by the Korea government (MSIP).

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Authors and Affiliations

  1. Department of Mathematics, Sogang University, Seoul, 04107, South Korea

    Pak Tung Ho

  2. Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul, 02455, South Korea

    Pak Tung Ho

  3. Department of Mathematics, Inha University, Incheon, 22212, South Korea

    Seongtag Kim

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  1. Pak Tung Ho
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Correspondence to Seongtag Kim.

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Ho, P.T., Kim, S. CR Nirenberg problem and zero Wester scalar curvature. Ann Glob Anal Geom 58, 207–226 (2020). https://doi.org/10.1007/s10455-020-09721-w

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  • DOI: https://doi.org/10.1007/s10455-020-09721-w

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