On the absolutely continuous spectrum of the Laplace-Beltrami operator acting on p-forms for a class of warped product metrics

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70260We explicitely compute the absolutely continuous spectrum of the Laplace-Beltrami operator for $p$-forms for the class of warped product metrics $dσ^2= y^{2a}dy^2 + y^{2b}dθ_{\Sphere^{N-1}}^2$, where $y$ is a boundary defining function on the unit ball B(0,1) in $\Real^N$.31 pagesSpectral Theory58G25,58C40On the absolutely continuous spectrum of the Laplace-Beltrami operator acting on p-forms for a class of warped product metricstext