A remark on exponential growth and the spectrum of the Laplacian

DOI10.2996/KMJ/1106157294zbMath0987.58016OpenAlexW2060819216MaRDI QIDQ5940256

Yusuke Higuchi

Publication date: 16 June 2002

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1106157294

zbMATH Keywords

spectrumLaplacianexponential growthspectral geometry

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (7)

Density and spectrum of minimal submanifolds in space forms ⋮ Remarks on mean curvature flow solitons in warped products ⋮ Spectrum Estimates and Applications to Geometry ⋮ Essential spectrum of the weighted Laplacian on noncompact manifolds and applications ⋮ Constant mean curvature surfaces in \({\mathbb {M}}^2(c)\times \mathbb {R}\) and finite total curvature ⋮ On some aspects of oscillation theory and geometry ⋮ On the entropies of hypersurfaces with bounded mean curvature

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