Discreteness of the spectrum of the Laplace-Beltrami operator
Functional Analysis
2009-02-16 v1 Differential Geometry
Abstract
We propose simple conditions equivalent to the discreteness of the spectrum of the Laplace-Beltrami operator on a class of Riemannian manifolds close to warped products. For this class of manifolds we establish a relationship between discreteness of the spectrum and stochastic incompleteness.
Keywords
Cite
@article{arxiv.math/0701564,
title = {Discreteness of the spectrum of the Laplace-Beltrami operator},
author = {M. Harmer},
journal= {arXiv preprint arXiv:math/0701564},
year = {2009}
}