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

Renmin University of China
Northeastern University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1833-1848
页数	16
期刊	Communications in Analysis and Geometry
卷	30
期	8
DOI	https://doi.org/10.4310/CAG.2022.V30.N8.A7
出版状态	已出版 - 2022
已对外发布	是

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title = "Li-Yau inequality on virtually Abelian groups",

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",

doi = "10.4310/CAG.2022.V30.N8.A7",

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AB - 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.

UR - https://www.scopus.com/pages/publications/85167999788

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DO - 10.4310/CAG.2022.V30.N8.A7

M3 - Article

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VL - 30

SP - 1833

EP - 1848

JO - Communications in Analysis and Geometry

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Li-Yau inequality on virtually Abelian groups

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