Sub-Laplacian eigenvalue bounds on CR manifolds

Details Sub-Laplacian eigenvalue bounds on CR manifolds Sub-Laplacian eigenvalue bounds on CR manifolds

2012-02-24

arxiv.org/abs/1202.5465v1

Mathematics

Differential Geometry

preliminary version, 12 pages

Scientific paper

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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