| 具有非负Ricci曲率的且满足大体积增长条件的开流形 |
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| 引用本文： | 徐森林,杨芳云,王作勤.具有非负Ricci曲率的且满足大体积增长条件的开流形[J].东北数学,2003,19(2):155-160. |
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| 作者姓名： | 徐森林 杨芳云 王作勤 |
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| 作者单位： | 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 |
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| 基金项目： | Foundation item:The NNSFC(19971081)and NECYSFC |
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| 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.
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| 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 |
Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth |
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| XU Senlin.Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth[J].Northeastern Mathematical Journal,2003,19(2):155-160. |
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| Authors: | XU Senlin |
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| Institution: | [1]DepartmentofMathematics,CentralChinaNormalUniversity,Wuhan,430079 [2]DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei,230026 |
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| Abstract: | |
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| Keywords: | open manifold nonnegative Ricci curvature critical radius volume growth |
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