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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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",

language = "English",

volume = "30",

pages = "1833--1848",

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AU - Lippner, Gabor

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N2 - 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.

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

AN - SCOPUS:85167999788

SN - 1019-8385

VL - 30

SP - 1833

EP - 1848

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 8

ER -

Li-Yau inequality on virtually Abelian groups

Abstract

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