Li-Yau inequality on virtually Abelian groups
Analysis of PDEs
2016-10-18 v1
Abstract
We show that Cayley graphs of virtually Abelian groups satisfy a Li-Yau type gradient estimate despite the fact that they do not satisfy any known variant of the curvature-dimension inequality with non-negative curvature.
Cite
@article{arxiv.1610.05227,
title = {Li-Yau inequality on virtually Abelian groups},
author = {Gabor Lippner and Shuang Liu},
journal= {arXiv preprint arXiv:1610.05227},
year = {2016}
}
Comments
12 pages