On the spectrum of the Laplace-Beltrami operator for $p$-forms for a class of warped product metrics

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69158We explicitely compute the essential spectrum of the Laplace-Beltrami operator for $p$-forms for the class of warped product metrics $dσ^2= y^{2a}dy^2 + y^{2b}dθ_{\partial M}^2$, where $y$ is a boundary defining function on a compact manifold with boundary $M$.45 pages, to appear in "Advances in Mathematics"Spectral TheoryDifferential Geometry58J50On the spectrum of the Laplace-Beltrami operator for $p$-forms for a class of warped product metricstext