On the spectrum of non-compact manifolds with finite volume

DOI10.1007/BF01161957zbMath0537.58040OpenAlexW2094939467MaRDI QIDQ792686

Robert Brooks

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173501

zbMATH Keywords

essential spectrumdiscrete spectrumCheeger's isoperimetric constantLaplacian on Riemannian manifold

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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Cites Work

• Unnamed Item
• Pure point spectrum and negative curvature for noncompact manifolds
• On the essential spectrum of a complete Riemannian manifold
• Noncompact Riemannian manifolds with discrete spectra