A new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian
classification
🧮 math.DG
keywords
eigenvalueestimatekohnlaplaciansharpcertaincharacterizationcharacterizes
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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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