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拟常曲率流形中全脐点子流形的拼嵌定理
引用本文:王林峰.拟常曲率流形中全脐点子流形的拼嵌定理[J].数学季刊,2006,21(3):342-350.
作者姓名:王林峰
作者单位:Department of Mathematics,East China Normal University,Shanghai 200062,China; Department of Mathematics,Nantong University,Nantong 226007,China
基金项目:Supported by the Directing Research Subject of Jiangsu Education Bureau(03103146)
摘    要:We study the global umbilic submanifolds with parallel mean curvature vector fields in a Riemannian manifold with quasi constant curvature and get a local pinching theorem about the length of the second fundamental form.

关 键 词:常量曲率  关联均值曲率向量场  整体中心点  测地线子流形

The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature
WANG Lin-feng.The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature[J].Chinese Quarterly Journal of Mathematics,2006,21(3):342-350.
Authors:WANG Lin-feng
Institution:Department of Mathematics, East China Normal University, Shanghai 200062, China; Department of Mathematics, Nantong University, Nantong 226007, China
Abstract:We study the global umbilic submanifolds with parallel mean curvature vector fields in a Riemannian manifold with quasi constant curvature and get a local pinching theorem about the length of the second fundamental form.
Keywords:constant curvature  parallel mean curvature vector fields  global umbilic points  globally geodesic submanifolds
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