|
|||||
|
|
| 单位球面中具有平行平均曲率向量的子流形(英文) | |
| 引用本文： | 侯晓阳. 单位球面中具有平行平均曲率向量的子流形(英文)[J]. 淮北煤炭师范学院学报(自然科学版), 2009, 30(1) |
| 作者姓名： | 侯晓阳 |
| 作者单位： | 温州大学城市学院,浙江,温州,325035 |
| 摘 要： | 设Mn是单位球面Sn+P中具有平行平均曲率向量的紧致可定向子流形,令|A|2为第二本形式长度的平方.若|A|2< 2n(√)n-1/2θ(√)n-1+n,则Mn是Sn+P中的标准球面;当|A|2< 2n(√)n-1/2θ(√)n-1+n时,还可以对子流形Mn进行分类. |
| 关 键 词： | 平行平均曲率 第二基本形式 紧致 全脐 |
Submanifolds in a Unit Sphere with Parallel Mean Curvature Vector |
|
| HOU Xiaoyang. Submanifolds in a Unit Sphere with Parallel Mean Curvature Vector[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2009, 30(1) | |
| Authors: | HOU Xiaoyang |
| Affiliation: | HOU Xiao- yang (City College of Wenzhou University,325035,Wenzhou,Zhejiang,China) |
| Abstract: | Let Mn be a compact submanifold with parallel mean curvature vector immersed in the unit sphere Sn+P, Denote by |A|2 the square of the length of its second fundamental form. If then │A│2=2n(√)n-1/2θ(√)n-1+n,Mn is a stan-dard sphere in Sn+P. We can also characterize Mn with │A│2=2n(√)n-1/2θ(√)n-1+n. |
| Keywords: | parallel mean curvature second fundamental form compact totally umbilical |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |