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Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
Journal article   Open access  Peer reviewed

Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

Najoua Gamara, Abdelhalim Hasnaoui and Akrem Makni
Open mathematics (Warsaw, Poland), Vol.13(1), pp.557-570
25/09/2015
DOI: https://doi.org/10.1515/math-2015-0053

Abstract

Eigenfunctions Isoperimetric inequalities Reverse Hölder Inequality Ricci curvature Torsional rigidity
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
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https://doi.org/10.1515/math-2015-0053View
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