EIGENVALUE ESTIMATES ON A CONNECTED FINITE GRAPH

被引：7

作者：

Wang, Lin Feng ^{[1
]}

Zhou, Yu Jie ^{[1
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 11期

关键词：

Connected finite graph; CDE(m; K); condition; CD(m; gradient estimate; eigenvalue; INEQUALITY; CURVATURE;

D O I：

10.1090/proc/13890

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on gradient estimates of the eigenfunction, we prove lower bound estimates for the first nonzero eigenvalue of the mu-Laplacian on a connected finite graph through the curvature-dimension conditions. These estimates are parallel to the results on compact Riemannian manifolds with the Ricci curvature bounded from below.

引用

页码：4855 / 4866

页数：12

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