%0 Journal Article %T An application of scattering theory to the spectrum of the Laplace-Beltrami operator %A Francesca Antoci %J Mathematics %D 2003 %I arXiv %X Applying 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 $[0, +\infty)$. %U http://arxiv.org/abs/math/0301099v1