2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163842Motivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete m-dimensional manifolds with singularities on sets of codimension at least 2. With certain restrictions on the metric, we establish that the spectrum is discrete and satisfies Weyl's asymptotic formula.Differential Geometry58J50; 35J05; 35P10; 35P20; 53C20text