TY - JOUR
T1 - Gaussian heat kernel estimates
T2 - from functions to forms
AU - Coulhon, Thierry
AU - Devyver, Baptiste
AU - Sikora, Adam
PY - 2020/4
Y1 - 2020/4
N2 - On a complete non-compact Riemannian manifold satisfying the volume doubling property, we give conditions on the negative part of the Ricci curvature that ensure that, unless there are harmonic 1-forms, the Gaussian heat kernel upper estimate on functions transfers to one-forms. These conditions do no entail any constraint on the size of the Ricci curvature, only on its decay at infinity.
AB - On a complete non-compact Riemannian manifold satisfying the volume doubling property, we give conditions on the negative part of the Ricci curvature that ensure that, unless there are harmonic 1-forms, the Gaussian heat kernel upper estimate on functions transfers to one-forms. These conditions do no entail any constraint on the size of the Ricci curvature, only on its decay at infinity.
UR - http://www.scopus.com/inward/record.url?scp=85054849390&partnerID=8YFLogxK
U2 - 10.1515/crelle-2018-0021
DO - 10.1515/crelle-2018-0021
M3 - Article
AN - SCOPUS:85054849390
SN - 0075-4102
VL - 2020
SP - 25
EP - 79
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 761
ER -