Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

Abstract

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

Keywords

• Isoperimetric inequalities
• Eigenfunctions
• Ricci curvature
• Reverse Hölder Inequality
• Torsional rigidity