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Sub-Laplacian Eigenvalue Bounds on CR Manifolds
Authors:Gerasim Kokarev
Institution:1. Mathematisches Institut der Universit?t München , München , Germany Gerasim.Kokarev@mathematik.uni-muenchen.de
Abstract:We prove upper bounds for sub-Laplacian eigenvalues independent of a pseudo-Hermitian structure on a CR manifold. These bounds are compatible with the Menikoff-Sjöstrand asymptotic law, and can be viewed as a CR version of Korevaar's bounds for Laplace eigenvalues of conformal metrics.
Keywords:Counting function  CR manifold  Eigenvalues  Sub-Laplacian
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