EIGENVALUE ESTIMATES ON A CONNECTED FINITE GRAPH

被引：5
|
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.
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页码：4855 / 4866
页数：12
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