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Discreteness of the spectrum of the Laplace-Beltrami operator

M. Harmer
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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.

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M. Harmer. 2007-01-20. Discreteness of the spectrum of the Laplace-Beltrami operator. https://doi.org/10.1007/s12220-008-9055-6

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