Riemannian manifolds whose Laplacians have purely continuous spectrum

DOI10.1007/BF01444709zbMath0735.58033WikidataQ115393535 ScholiaQ115393535MaRDI QIDQ811533

Nicola Garofalo, Harold Donnelly

Publication date: 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164951

zbMATH Keywords

continuous spectrumRiemannian manifoldLaplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05)

Related Items

Spectrum of the Dirac operator on manifold with asymptotically flat end, Density and spectrum of minimal submanifolds in space forms, Absence of eigenvalue at the bottom of the continuous spectrum on asymptotically hyperbolic manifolds, Growth of the eigensolutions of Laplacians on Riemannian manifolds. II: Positivity of the initial energy, On the spectrum of certain Hadamard manifolds, Perturbation of a warped product metric of an end and the growth property of solutions to eigenvalue equations, Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian, Spectrum Estimates and Applications to Geometry, On the Essential Spectrum of the Laplacian and Vague Convergence of the Curvature at Infinity, Positive curvature and eigenfunctions of the Laplacian, On the point spectrum of the Dirac operator on a non-compact manifold, Stability of non compact steady and expanding gradient Ricci solitons, Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues, On some aspects of oscillation theory and geometry

Cites Work

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