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伪Riemann流形中的2-调和类空子流形

洪涛清, 张剑锋   

  1. 丽水学院 数学系, 浙江 丽水 323000
  • 收稿日期:2008-04-28 修回日期:1900-01-01 出版日期:2009-03-26 发布日期:2009-03-26
  • 通讯作者: 洪涛清

2-Harmonic Spacelike Submanifolds in PseudoRiemann Manifold

HONG Taoqing, ZHANG Jianfeng   

  1. Department of Mathematics, Lishui University, Lishui 323000, Zhejiang Province, ChinaWe obtained one sufficient condition under which a 2h
  • Received:2008-04-28 Revised:1900-01-01 Online:2009-03-26 Published:2009-03-26
  • Contact: HONG Taoqing

摘要: 通过推广相关定理, 给出了具有非负截面曲率的伪Riemann流形中的2-调和类空子流形成为极大类空子流形的一个充分条件, 并通过减弱相关定理的条件, 讨论了外围流形Ricci曲率有上下界时的超曲面情况, 从而改进了相关结果.

关键词: 伪Riemann流形, 2-调和映射, 平均曲率向量, 类空子流形, 超曲面

Abstract: We obtained one sufficient condition under which a 2-harmonic submanifold with nonnegative sectioncurvature turns into a maximal submanifold by promoting known theorem. And We also studied the 2-harmonic hypersurfaces by weakening the conditions when the Ricci curvature of the ambient manifold had upper and lower restrict, thus improving the known results.

Key words: pseudoRiemann manifold, 2-harmonic map, mean curvature vector, spacelike submanifold, hypersurface

中图分类号: 

  • O186