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

Michiel van den Berg; Peter B. Gilkey

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arXiv · math/0302255

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

Michiel van den Berg·Peter B. Gilkey

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Abstract

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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Michiel van den Berg, Peter B. Gilkey. 2003-02-20. Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds. https://arxiv.org/abs/math/0302255

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