Li-Yau inequality on virtually Abelian groups

Gabor Lippner; Shuang Liu

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arXiv · 1610.05227

Li-Yau inequality on virtually Abelian groups

Gabor Lippner·Shuang Liu

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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.

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Gabor Lippner, Shuang Liu. 2016-10-17. Li-Yau inequality on virtually Abelian groups. https://arxiv.org/abs/1610.05227

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