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A characterization of homogeneous three-dimensional CR manifolds

  • Jih-Hsin Cheng

    Academia Sinica and National Center for Theoretical Sciences, Taipei, Taiwan

  • Andrea Malchiodi

    Scuola Normale Superiore, Pisa, Italy

  • Paul Yang

    Princeton University, Princeton, USA
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Abstract

We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and torsion of the pseudohermitian structure.

Cite this article

Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang, A characterization of homogeneous three-dimensional CR manifolds. Rev. Mat. Iberoam. (2024), published online first

DOI 10.4171/RMI/1491