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.
机构:
Renmin Univ China, Sch Math, Beijing, Peoples R ChinaRenmin Univ China, Sch Math, Beijing, Peoples R China
Gong, Chao
Lin, Yong
论文数: 0引用数: 0
h-index: 0
机构:
Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R ChinaRenmin Univ China, Sch Math, Beijing, Peoples R China
Lin, Yong
Liu, Shuang
论文数: 0引用数: 0
h-index: 0
机构:
Renmin Univ China, Sch Math, Beijing, Peoples R China
Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R ChinaRenmin Univ China, Sch Math, Beijing, Peoples R China
Liu, Shuang
Yau, Shing-Tung
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h-index: 0
机构:
Harvard Univ, Dept Math, Cambridge, MA 02138 USARenmin Univ China, Sch Math, Beijing, Peoples R China
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Jiang, Renjin
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,
2015,
104
(01):
: 29
-
57
机构:
Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R ChinaShantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
Yu, Chengjie
Zhao, Feifei
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h-index: 0
机构:
North China Inst Aerosp Engn, Sch Liberal Arts & Sci, Langfang 065000, Peoples R ChinaShantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China