On the essential spectrum of complete non-compact manifolds

DOI10.1016/j.jfa.2010.10.010zbMath1222.58025arXiv1003.2502OpenAlexW2146380952WikidataQ124963691 ScholiaQ124963691MaRDI QIDQ537690

Zhiqin Lu, Detang Zhou

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2502

zbMATH Keywords

essential spectrumshrinking soliton

Mathematics Subject Classification ID

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

Related Items (16)

Complete manifolds with bounded curvature and spectral gaps ⋮ Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations ⋮ Compact submanifolds supporting singular interactions ⋮ Eigenvalues of the drifted Laplacian on complete metric measure spaces ⋮ Location of the essential spectrum in curved quantum layers ⋮ Density and spectrum of minimal submanifolds in space forms ⋮ On the spectrum of differential operators under Riemannian coverings ⋮ The spectrum of continuously perturbed operators and the Laplacian on forms ⋮ The spectrum of the Laplacian on forms over flat manifolds ⋮ On the essential spectrum of the Laplacian and the drifted Laplacian ⋮ Spectrum Estimates and Applications to Geometry ⋮ Nonexistence of Radial Optimal Functions for the Sobolev Inequality on Cartan-Hadamard Manifolds ⋮ On the spectrum of the Laplacian ⋮ Heat kernel estimates and the essential spectrum on weighted manifolds ⋮ Spectral gaps on complete Riemannian manifolds ⋮ Essential spectrum of a class of Riemannian manifolds

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