A Note on Riesz Potentials and the First Eigenvalue

DOI10.2307/2159127zbMath0766.53032OpenAlexW4233733185MaRDI QIDQ4695557

Jiecheng Chen

Publication date: 29 June 1993

Full work available at URL: https://doi.org/10.2307/2159127

zbMATH Keywords

essential spectrumRiesz potentialspositively curved manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Potential theory on Riemannian manifolds and other spaces (31C12)

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Cites Work

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• A note on eigenvalues
• Analysis of the Laplacian on a complete Riemannian manifold
• On the essential spectrum of a complete Riemannian manifold
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• On the spectrum of the laplacian on complete riemannian manifolds