Geodesic
Some Gradient Estimates on Covering Manifolds
Nick Dungey1
1 School of Mathematics The University of New South Wales Sydney 2052, Australia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 4, pp. 437-443

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $M$ be a complete Riemannian manifold which is a Galois covering, that is, $M$ is periodic under the action of a discrete group $G$ of isometries. Assuming that $G$ has polynomial volume growth, we provide a new proof of Gaussian upper bounds for the gradient of the heat kernel of the Laplace operator on $M$. Our method also yields a control on the gradient in case $G$ does not have polynomial growth.
DOI : 10.4064/ba52-4-10
Keywords: complete riemannian manifold which galois covering periodic under action discrete group isometries assuming has polynomial volume growth provide proof gaussian upper bounds gradient heat kernel laplace operator method yields control gradient does have polynomial growth

Nick Dungey 1

1 School of Mathematics The University of New South Wales Sydney 2052, Australia 
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Nick Dungey. Some Gradient Estimates on Covering Manifolds. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 4, pp. 437-443. doi: 10.4064/ba52-4-10

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