Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds
In this article we prove a reverse Hölder 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.
math.DG↗