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math.DG2005
Large time behavior of heat kernels on forms
Thierry Coulhon, Qi S. Zhang
We derive large time upper bounds for heat kernels on vector bundles of differential forms on a class of non-compact Riemannian manifolds under certain curvature conditions.
math.DG2005
Riesz transform on manifolds and Poincaré inequalities
Pascal Auscher, Thierry Coulhon
We study the validity of the inequality for the Riesz transform when and of its reverse inequality when on complete Riemannian manifolds under the doubling proper…