Absence of eigenvalue at the bottom of the continuous spectrum on asymptotically hyperbolic manifolds

DOI10.1007/s10455-012-9359-4zbMath1286.58019arXiv1208.0709OpenAlexW2063251444MaRDI QIDQ2392960

Jean-Marc Bouclet

Publication date: 5 August 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0709

zbMATH Keywords

continuous spectrumLaplace-Beltrami operatorasymptotically hyperbolic manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces ⋮ Resolvent and Spectral Measure on Non-Trapping Asymptotically Hyperbolic Manifolds II: Spectral Measure, Restriction Theorem, Spectral Multipliers ⋮ Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space ⋮ The heat kernel on asymptotically hyperbolic manifolds ⋮ Inverse scattering with disjoint source and observation sets on asymptotically hyperbolic manifolds ⋮ Normal form of the metric for a class of Riemannian manifolds with ends ⋮ Dispersive estimates for scalar and matrix Schrödinger operators on \(\mathbb H^{n+1}\)

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