LOWER BOUND ESTIMATES OF THE FIRST EIGENVALUE FOR THE f-LAPLACIAN AND THEIR APPLICATIONS

DOI10.1093/qmath/has033zbMath1298.53033OpenAlexW1998730990MaRDI QIDQ2871295

Yawei Chu, Ze-Jun Hu

Publication date: 22 January 2014

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/has033

zbMATH Keywords

eigenvalue estimatesBakry-Emery Ricci curvature\(f\)-Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons ⋮ Aspects of mean curvature flow solitons in warped products ⋮ An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality ⋮ Remark on a lower diameter bound for compact shrinking Ricci solitons ⋮ Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\)

This page was built for publication: LOWER BOUND ESTIMATES OF THE FIRST EIGENVALUE FOR THE f-LAPLACIAN AND THEIR APPLICATIONS