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Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds
Published 10 Apr 2015 in math.DG | (1504.02747v1)
Abstract: 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.
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