拟常曲率流行中全脐点子流行的拼嵌定理

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 342-350.

拟常曲率流行中全脐点子流行的拼嵌定理

Department of Mathematics, East China Normal University, Shanghai 200062, China; Department of Mathematics, Nantong University, Nantong 226007, China

收稿日期:2004-02-09 出版日期:2006-09-30 发布日期:2023-11-27
作者简介:WANG Lin-feng(1973-),male,native of Nantong,Jiangsu,a lecturer of Nantong University,en- gages in the theory of submanifolds.
基金资助:
Supported by the Directing Research Subject of Jiangsu Education Bureau(03103146)；

The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature

Department of Mathematics, East China Normal University, Shanghai 200062, China; Department of Mathematics, Nantong University, Nantong 226007, China

Received:2004-02-09 Online:2006-09-30 Published:2023-11-27
About author:WANG Lin-feng(1973-),male,native of Nantong,Jiangsu,a lecturer of Nantong University,en- gages in the theory of submanifolds.
Supported by:
Supported by the Directing Research Subject of Jiangsu Education Bureau(03103146)；

摘要/Abstract

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: constant , , curvature, parallel , , mean , , curvature , , vector , , fields, global , , umbilic points, globally geodesic submanifolds

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.

Key words: constant , , curvature, parallel , , mean , , curvature , , vector , , fields, global , , umbilic points, globally geodesic submanifolds

中图分类号:

O186.12

王林峰. 拟常曲率流行中全脐点子流行的拼嵌定理[J]. 数学季刊, 2006, 21(3): 342-350.

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.

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