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

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

2003-11-07

arxiv.org/abs/math/0311102v1

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

Mathematics

Spectral Theory

27 pages

Scientific paper

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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