The $p-$parabolicity under a decay assumption on the Ricci curvature

Lucas S. Priebe, Rodrigo B. Soares

We prove that, given $\alpha >0$, if $M$ is a complete Riemannian manifold which Ricci curvature satisfies.\[\operatorname*{Ric}\nolimits_{x}(v)\geqα\operatorname{sech}^{2} (r(x)))\] or…