Sub-Laplacian eigenvalue bounds on CR manifolds

Gerasim Kokarev

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arXiv · 1202.5465

Sub-Laplacian eigenvalue bounds on CR manifolds

Gerasim Kokarev

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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-Sjoestrand asymptotic law, and can be viewed as a CR version of Korevaar's bounds for Laplace eigenvalues of conformal metrics.

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Gerasim Kokarev. 2012-02-24. Sub-Laplacian eigenvalue bounds on CR manifolds. https://arxiv.org/abs/1202.5465

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