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

2003/02/20 by Michiel van den Berg, Berg, Michiel van den, Peter B. Gilkey +1
Mathematics · Physics and Astronomy · #35K05 #58G25 #60J65 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.AP #math.DG #math.MP #msc:35K05 #msc:58G25 #msc:60J65

paper · pdf · doi:10.48550/arxiv.math/0302255

arxiv created 2003/02/20 · arxiv updated 2009/11/30

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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• Some generalized inequalities in Riemannian Geometry
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