English

A characterization of homogeneous three-dimensional CR manifolds

Differential Geometry 2023-09-06 v1

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.

Keywords

Cite

@article{arxiv.2309.02278,
  title  = {A characterization of homogeneous three-dimensional CR manifolds},
  author = {Jih-Hsin Cheng and Andrea Malchiodi and Paul Yang},
  journal= {arXiv preprint arXiv:2309.02278},
  year   = {2023}
}

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15 pages