Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds

Najoua Gamara; Abdelhalim Hasnaoui; Akrem Makni

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arXiv · 1504.02747

Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds

Najoua Gamara·Abdelhalim Hasnaoui·Akrem Makni

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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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BibTeX RIS

Najoua Gamara, Abdelhalim Hasnaoui, Akrem Makni. 2015-04-10. Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds. https://arxiv.org/abs/1504.02747

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