An alternative proof of lower bounds for the first eigenvalue on manifolds
An alternative proof of lower bounds for the first eigenvalue on manifolds
Abstract Recently, Andrews and Clutterbuck [1] gave a new proof of the optimal lower eigenvalue bound on manifolds via modulus of continuity for solutions of the heat equation. In this short note, we give an alternative proof of Theorem 2 in [1]. More precisely, following Ni's method (Section 6 of …