Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds

2015/04/10 by Gamara, Najoua, Hasnaoui, Abdelhalim, Makni, Akrem
#35P15 #53C21 #58J60 #60J65 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.02747

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.

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