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arXiv · 1308.3403

A new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian

Song-Ying Li·Duong Ngoc Son·Xiaodong Wang
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Abstract

Motivated by a sharp eigenvalue estimate for the Kohn Laplacian, we prove a theorem that characterizes the CR sphere in terms of the existence of a non-trivial complex-valued function satisfying a certain overdetermined system.

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Song-Ying Li, Duong Ngoc Son, Xiaodong Wang. 2013-09-24. A new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian. https://doi.org/10.1016/j.aim.2015.06.008

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