侯中华

105

  • 教授     博士生导师   硕士生导师
  • 性别:男
  • 毕业院校:日本东京工业大学
  • 学位:博士
  • 所在单位:数学科学学院
  • 学科:基础数学
  • 电子邮箱:zhonghua@dlut.edu.cn

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开通时间:2025.3.31

最后更新时间:2025.3.31

Submanifolds with Parallel Mean Curvature Vector Field in Product Spaces

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论文类型:期刊论文

发表时间:2015-01-01

发表刊物:Vietnam Journal of Mathematics

收录刊物:Scopus

卷号:43

期号:4

页面范围:705-723

ISSN号:2305221X

摘要:By Moving Frame Method, we firstly derive some Simons type equations for an n-dimensional submanifold Mn with parallel mean curvature vector field    in (Formula presented.) , where Mm(c) is an m-dimensional space form of constant sectional curvature c and obtain a lower bound of the squared norm of the covariant differential of the second fundamental form h of Mn. Then, we use these results to prove some gap theorems on |h|2 and |?|2=|h|2?n|  |2. ? 2015, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.