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HEAT CONTENT AND A HARDY INEQUALITY FOR COMPLETE RIEMANNIAN MANIFOLDS

Published online by Cambridge University Press:  24 August 2004

M. VAN DEN BERG  and
P. B. GILKEY
M. VAN DEN BERG
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, United [email protected]
P. B. GILKEY
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, [email protected]
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Abstract

Upper bounds are obtained for the heat content and the torsional rigidity of a complete Riemannian manifold $M$, assuming a Hardy inequality for the Dirichlet Laplacian on $M$.

Keywords

35J0535K0558J35
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 5 , September 2004 , pp. 577 - 586
Copyright
© The London Mathematical Society 2004

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