On the spectrum of the Laplace-Beltrami operator for $p$-forms for a class of warped product metrics
Abstract
Description
We 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"
45 pages, to appear in "Advances in Mathematics"