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

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

2003-02-20

arxiv.org/abs/math/0302255v1

Mathematics

Differential Geometry

Scientific paper

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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