On the spectrum of the Laplace-Beltrami operator for p-forms on asymptotically hyperbolic manifolds

Abstract

Under suitable conditions on the asymptotic decay of the metric, we compute the essential spectrum of the Laplace-Beltrami operator acting on $p$-forms on asymptotically hyperbolic manifolds.

27 pages

Cited by in corpus (1)

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