Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds

Najoua Gamara, Abdelhalim Hasnaoui, Akrem Makni

Published 2015-04-10Version 1

In this article we prove a reverse H\"older 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.