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.

引用

页码：803 / 826

页数：24

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