2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219858We 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.Functional AnalysisDifferential Geometrytext