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

页码：613 / 632

页数：20

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