An upper bound of the heat kernel along the harmonic-Ricci flow
Differential Geometry
2015-03-02 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1501.00639,
title = {An upper bound of the heat kernel along the harmonic-Ricci flow},
author = {Shouwen Fang and Tao Zheng},
journal= {arXiv preprint arXiv:1501.00639},
year = {2015}
}
Comments
16pages. arXiv admin note: text overlap with arXiv:1412.3200 by other authors