Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth  

作　　者：徐森林 杨芳云 王作勤 

机构地区：[1]Department of Mathematics, Central China Normal University, Wuhan,430079,Department of Mathematics, Unversity of Science and Technology of China, Hefie,230026,Department of Mathematics, Unversity of Science and Technology of China, Hefie,230026

出　　处：《Northeastern Mathematical Journal》2003年第2期155-160,共6页东北数学（英文版）

基　　金：Foundation item:The NNSFC(19971081)and NECYSFC

摘　　要：In this paper, we prove that if M is an open manifold with nonnegativeRicci curvature and large volume growth, positive critical radius, then sup Cp = ∞.As an application, we give a theorem which supports strongly Petersen's conjecture.In this paper, we prove that if M is an open manifold with nonnegativeRicci curvature and large volume growth, positive critical radius, then sup Cp = ∞.As an application, we give a theorem which supports strongly Petersen's conjecture.

关 键 词：open manifold nonnegative Ricci curvature critical radius volume growth 

分 类 号：O186.16[理学—数学]