Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds : Open Mathematics

摘要

In this article we prove a reverse H?lder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains.