Spectral rigidity of manifolds with Ricci bounded below and maximal bottom spectrum

Luciano Mari, Marcos Ranieri, Elaine Sampaio +1

We investigate the spectrum of the Laplacian on complete, non-compact manifolds $M^n$ whose Ricci curvature satisfies $\mathrm{Ric}\ge -(n-1)\mathrm{H}(r)$, for some continuous,…