Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds

Abstract

We obtain lower bounds for the first Laplacian eigenvalues of geodesic balls of spherically symmetric manifolds. These lower bounds are only $C^0$ dependent on the metric coefficients.

7 Pages, written in Latex. Revised version of the paper "Curvature free lower bounds for the first eigenvalue of normal geodesic balls"

Cited by in corpus (4)

• Eigenvalue inequalities for the p-Laplacian on a Riemannian manifold and estimates for the heat kernel
• Dirichlet spectrum and Green function
• Volume Growth, Spectrum and Stochastic Completeness of Infinite Graphs
• Estimates of the first Dirichlet eigenvalue from exit time moment spectra