On the essential spectrum of complete Riemannian manifolds with finite volume

DOI10.1007/BF02560127zbMath0808.58042OpenAlexW131074362WikidataQ115392064 ScholiaQ115392064MaRDI QIDQ4290686

Zhiqin Lu

Publication date: 5 May 1994

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560127

zbMATH Keywords

Riemannian manifoldLaplace operatoressential spectrum

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Pure point spectrum and negative curvature for noncompact manifolds
• On the spectrum of non-compact manifolds with finite volume
• A relation between growth and the spectrum of the Laplacian
• On the essential spectrum of a complete Riemannian manifold
• Eigenvalues embedded in the continuum for negatively curved manifolds
• The fundamental group and the spectrum of the Laplacian
• On the spectrum of the laplacian on complete riemannian manifolds

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