2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66223Applying a theorem due to Belopol'ski and Birman, we show that the Laplace-Beltrami operator on 1-forms on ${\bf R}^n$ endowed with an asymptotically Euclidean metric has absolutely continuous spectrum equal to $[0, +\infty)$.13 pagesSpectral TheoryDifferential Geometry58J50An application of scattering theory to the spectrum of the Laplace-Beltrami operatortext