A characterization of homogeneous three-dimensional CR manifolds

• Jih-Hsin Cheng ^[1] ; Andrea Malchiodi ^[3] ; Paul Yang ^[2]
  1. [1] National Center for Theoretical Sciences

     National Center for Theoretical Sciences

     Taiwán

     
  2. [2] Princeton University

     Princeton University

     Estados Unidos

     
  3. [3] Scuola Normale Superiore, Pisa, Italy

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 6, 2024, págs. 2325-2338
• Idioma: inglés
• DOI: 10.4171/RMI/1491
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• Resumen

  • 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.