Smooth metric measure spaces with weighted Poincar, inequality

被引：6
|
作者：
Nguyen Thac Dung [1 ]
Sung, Chiung Jue Anna [1 ]
机构：
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2013年 / 273卷 / 3-4期
关键词：
COMPLETE MANIFOLDS;
D O I：
10.1007/s00209-012-1023-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study smooth metric measure space (M, g, e (-f) dv) satisfying a weighted Poincar, inequality and establish a rigidity theorem for such a space under a suitable Bakry-A parts per thousand mery curvature lower bound. We also consider the space of f-harmonic functions with finite energy and prove a structure theorem.
引用
收藏
页码：613 / 632
页数：20
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