Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth

Open Manifolds with Nonnegative Ricci Curvature

and Large Volume Growth

徐森林;杨芳云;王作勤

【期刊名称】《东北数学：英文版》 【年(卷),期】2003(019)002

【摘要】In this paper, we prove that if M is an open manifold with nonnegative Ricci curvature and large volume growth, positive critical radius, then sup Cp=∞.p∈M As an application, we give a theorem which supports strongly Petersen's conjecture. 【总页数】6页(P.155-160)

【关键词】开流形;非负Ricci曲率;大体积增长条件;临界半径;Petersen猜想;Riemann流形;Busemann函数 【作者】徐森林;杨芳云;王作勤 【

作

者

单

位

】

DepartmentofMathematics,CentralChinaNormalUniversity,Wuhan,430079;DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei,230026 【正文语种】英文 【中图分类】O186.12 【相关文献】

1.Newspaper printing reversed negative growth --statistics of China＇s newspaper printing volume in 2010 [J],