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

arxiv: math/0302255 · v1 · submitted 2003-02-20 · 🧮 math.DG · hep-th· math-ph· math.AP· math.MP

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

Michiel van den Berg , Peter B. Gilkey This is my paper

classification 🧮 math.DG hep-thmath-phmath.APmath.MP

keywords completecontentgeneralizedhardyheatriemannianrigiditytorsional

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

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