%0 Journal Article
%T An upper bound of the heat kernel along the harmonic-Ricci flow
%A Shouwen Fang
%A Tao Zheng
%J Mathematics
%D 2015
%I arXiv
%X In this paper, we first derive a Sobolev inequality along the harmonic-Ricci flow. We then prove a linear parabolic estimate based on the Sobolev inequality and Moser's iteration. As an application, we will obtain an upper bound estimate for the heat kernel under the flow.
%U http://arxiv.org/abs/1501.00639v2