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

2003/11/07 by Francesca Antoci
Mathematics · #math.SP #msc:58J50

paper · pdf

published as Rend. Accad. Naz. Sci. XL Mem. Math. Appl. (2002) Vol. XXVI Fasc.1, 115-144 · 27 pages

arxiv created 2003/11/07 · arxiv updated 2009/12/01

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.

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