A characterization of homogeneous three-dimensional CR manifolds

Jih-Hsin Cheng; Andrea Malchiodi; Paul Yang

doi:10.4171/rmi/1491

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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.

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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