Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.math/0302255,
title = {Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds},
author = {Michiel van den Berg and Peter B. Gilkey},
journal= {arXiv preprint arXiv:math/0302255},
year = {2007}
}