典型文献
A Criterion of Nonparabolicity by the Ricci Curvature
文献摘要：
A complete manifold is said to be nonparabolic if it does admit a positive Green's function.To find a sharp geometric criterion for the parabolicity/nonparbolicity is an attractive question inside the function theory on Riemannian manifolds.This pa-per devotes to proving a criterion for nonparabolicity of a complete manifold weakened by the Ricci curvature.For this purpose,we shall apply the new Laplacian comparison theorem established by the first author to show the existence of a non-constant bounded subharmonic function.
文献关键词：
中图分类号：
作者姓名：
Qing DING;Xiayu DONG
作者机构：
School of Mathematical Sciences,Fudan University,Shanghai 200433,China
文献出处：
引用格式：
[1]Qing DING;Xiayu DONG-.A Criterion of Nonparabolicity by the Ricci Curvature)[J].数学年刊B辑（英文版）,2022(05):739-748
A类：
Nonparabolicity,nonparabolic,parabolicity,nonparbolicity,devotes,nonparabolicity
B类：
Criterion,by,Ricci,Curvature,complete,said,be,does,admit,positive,Green,function,To,find,sharp,geometric,criterion,attractive,question,inside,theory,Riemannian,manifolds,This,per,proving,weakened,curvature,For,this,purpose,shall,apply,new,Laplacian,comparison,theorem,established,first,author,show,existence,constant,bounded,subharmonic
AB值：
0.582128
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