DIFFERENTIAL ONE-FORMS ON DIRICHLET SPACES AND BAKRY-EMERY ESTIMATES ON METRIC GRAPHS

被引：15
|
作者：
Baudoin, Fabrice [1 ]
Kelleher, Daniel J.
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 05期
关键词：
RICCI CURVATURE; HEAT KERNEL; INEQUALITIES; DERIVATIONS; GRADIENT;
D O I：
10.1090/tran/7362
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a general framework on Dirichlet spaces to prove a weak form of the Bakry-Emery estimate and study its consequences. This estimate may be satisfied in situations, like metric graphs, where generalized notions of Ricci curvature lower bounds are not available.
引用
收藏
页码：3145 / 3178
页数：34
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