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"