Some Gradient Estimates on Covering Manifolds

Nick Dungey. "Some Gradient Estimates on Covering Manifolds." Bulletin of the Polish Academy of Sciences. Mathematics 52.4 (2004): 437-443. <http://eudml.org/doc/280858>.

@article{NickDungey2004,
abstract = {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.},
author = {Nick Dungey},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {heat kernel; Riemannian manifold; covering manifold; gradient estimates; periodic operator; polynomial growth},
language = {eng},
number = {4},
pages = {437-443},
title = {Some Gradient Estimates on Covering Manifolds},
url = {http://eudml.org/doc/280858},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Nick Dungey
TI - Some Gradient Estimates on Covering Manifolds
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 4
SP - 437
EP - 443
AB - 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.
LA - eng
KW - heat kernel; Riemannian manifold; covering manifold; gradient estimates; periodic operator; polynomial growth
UR - http://eudml.org/doc/280858
ER -