The upper bound of the \({{\text L}_{\mu}^2}\) spectrum

DOI10.1007/s10455-009-9193-5zbMath1190.53034OpenAlexW1979572545MaRDI QIDQ963264

Lin-Feng Wang

Publication date: 19 April 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-009-9193-5

zbMATH Keywords

gradient estimateHarnack inequalityweighted Laplacianbottom of the \(L^2_\mu\) 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)

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Cites Work

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• Eigenvalue comparison theorems and its geometric applications
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Complete manifolds with positive spectrum
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the structure of complete manifolds of nonnegative curvature
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications