McKean Rigidity for Cocompact Negatively Curved Manifolds and the \(p\)-Laplacian

Kuntao Jin, Bo Zhu

Let \((M^m,g)\) be a closed Riemannian manifold with \(\sec_g\leq-1\). We prove that the bottom spectrum of its universal cover attains McKean's lower bound if and only if the univ…