Li-Yau inequality on virtually Abelian groups

Shuang Liu; Gabor Lippner

doi:10.4310/CAG.2022.V30.N8.A7

Li-Yau inequality on virtually Abelian groups

Shuang Liu, Gabor Lippner

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1833-1848
Number of pages	16
Journal	Communications in Analysis and Geometry
Volume	30
Issue number	8
DOIs	https://doi.org/10.4310/CAG.2022.V30.N8.A7
Publication status	Published - 2022
Externally published	Yes

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Liu, S., & Lippner, G. (2022). Li-Yau inequality on virtually Abelian groups. Communications in Analysis and Geometry, 30(8), 1833-1848. https://doi.org/10.4310/CAG.2022.V30.N8.A7

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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.",

author = "Shuang Liu and Gabor Lippner",

year = "2022",

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Li-Yau inequality on virtually Abelian groups

Abstract

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