Bounded harmonic functions on Riemannian manifolds of nonpositive curvature

被引：1
|
作者：
Ding, Qing [1 ,2 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
MATHEMATISCHE ANNALEN | 2012年 / 353卷 / 03期
基金：
中国国家自然科学基金;
关键词：
GEOMETRY; DOMAINS; THEOREM; MAPS;
D O I：
10.1007/s00208-011-0705-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Certain general conditions are put forth on a complete simply-connected Riemannian manifold of nonpositive curvature which guarantee that they support nontrivial bounded harmonic functions. This result includes the Cartan-Hadamard manifolds with curvature pinched between two negative constants and the bounded symmetric domains and (n a parts per thousand yen 2) as special cases.
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页码：803 / 826
页数：24
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