# An upper bound for the first positive eigenvalue of the Kohn Laplacian on Reinhardt real hypersurfaces

@inproceedings{DallAra2021AnUB, title={An upper bound for the first positive eigenvalue of the Kohn Laplacian on Reinhardt real hypersurfaces}, author={Gian Maria Dall'Ara and Duong Ngoc Son}, year={2021} }

A real hypersurface in C is said to be Reinhardt if it is invariant under the standard T-action on C. Its CR geometry can be described in terms of the curvature function of its “generating curve”, i.e., the logarithmic image of the hypersurface in the plane R. We give a sharp upper bound for the first positive eigenvalue of the Kohn Laplacian associated to a natural pseudohermitian structure on a compact and strictly pseudoconvex Reinhardt real hypersurface having closed generating curve (which…

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