EXCESS FUNCTIONS OF RAYS ON COMPLETE NONCOMPACT MANIFOLDS  

作　　者：徐森林 徐栩 

机构地区：[1]Department of Mathematics,Central China Normal University,Wuhan 430079,China [2]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《Acta Mathematica Scientia》2003年第3期339-344,共6页数学物理学报（B辑英文版）

基　　金：supported by NNSFC(19971081)

摘　　要：This paper gives an estimate of excess functions of rays on complete non-compact manifolds. By using this estimation, the authors can get the results in [3] as corollaries, which asserts that a complete manifold is diffeomorphic to Rn under some curvature and pinching conditions. At last, they obtain a refinement of them with extra Ricci condition.This paper gives an estimate of excess functions of rays on complete non-compact manifolds. By using this estimation, the authors can get the results in [3] as corollaries, which asserts that a complete manifold is diffeomorphic to Rn under some curvature and pinching conditions. At last, they obtain a refinement of them with extra Ricci condition.

关 键 词：Excess functions RAYS DIFFEOMORPHISM 

分 类 号：O189.3[理学—数学]