Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds

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We obtain upper bounds on the heat content and on the torsional rigidity of a complete Riemannian manifold M, assuming a generalized Hardy inequality for the Dirichlet Laplacian on M.

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, Analysis of PDEs, 35K05; 58G25; 60J65

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http://salesiana.dossiersoluciones.com/handle/123456789/66587

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302255
 http://arxiv.org/abs/math/0302255

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arXiv