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The Webster scalar curvature revisited: the case of the three dimensional CR sphere

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Abstract

In this paper we consider the problem of prescribing the Webster scalar curvature on the three CR sphere of \({\mathbb{C}^{2}}\). We use techniques related to the theory of critical points at infinity, and obtain existence results for curvature satisfying an assumption of Bahri–Coron type.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Tunis, University Tunis El Manar, El Manar II, 2092, Tunis, Tunisia

    Eljazi Salem & Najoua Gamara

Authors
  1. Eljazi Salem
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  2. Najoua Gamara
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Correspondence to Najoua Gamara.

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Communicated by A. Malchiodi.

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Salem, E., Gamara, N. The Webster scalar curvature revisited: the case of the three dimensional CR sphere. Calc. Var. 42, 107–136 (2011). https://doi.org/10.1007/s00526-010-0382-7

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  • DOI: https://doi.org/10.1007/s00526-010-0382-7

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