Sub-Laplacian eigenvalue bounds on CR manifolds
Differential Geometry
2013-07-31 v3 Spectral Theory
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.
Cite
@article{arxiv.1202.5465,
title = {Sub-Laplacian eigenvalue bounds on CR manifolds},
author = {Gerasim Kokarev},
journal= {arXiv preprint arXiv:1202.5465},
year = {2013}
}
Comments
minor corrections made, new references added, 13 pages; to appear in Comm. PDEs