| 空间形式中具常数量曲率的子流形的内蕴刚性 |
| |
| 引用本文： | 陈伟,郭震. 空间形式中具常数量曲率的子流形的内蕴刚性[J]. 东北数学, 2007, 23(3): 200-214 |
| |
| 作者姓名： | 陈伟 郭震 |
| |
| 作者单位： | [1]Department of Mathematics, Kunming University of Science and Technology, Kunming, 650093 [2]Department of Mathematics, Yunnan Normal University, Kunming, 650092 |
| |
| 摘 要： | Under the assumption that the normalized mean curvature vector is parallel in the normal bundle, by using the generalized ChengYau＇s self-adjoint differential operator, here we obtain some rigidity results for compact submanifolds with constant scalar curvature and higher codimension in the space forms.
|
| 关 键 词： | 空间型 纯量曲率 微分算子 子流形 |
| 文章编号： | 1000-1778（2007）03-0200-15 |
| 收稿时间： | 2004-08-12 |
| 修稿时间： | 2004-08-12 |
On Intrinsic Rigidity for Submanifolds with Constant Scalar Curvature in Space Forms |
| |
| CHEN Wei,GUO Zhen. On Intrinsic Rigidity for Submanifolds with Constant Scalar Curvature in Space Forms[J]. Northeastern Mathematical Journal, 2007, 23(3): 200-214 |
| |
| Authors: | CHEN Wei GUO Zhen |
| |
| Affiliation: | 1.Department of Mathematics, Kunming University of Science and Technology, Kunming, 650093;2.Department of Mathematics, Yunnan Normal University, Kunming, 650092 |
| |
| Abstract: | Under the assumption that the normalized mean curvature vector is parallel in the normal bundle, by using the generalized Cheng-Yau's self-adjoint differential operator, here we obtain some rigidity results for compact submanifolds with constant scalar curvature and higher codimension in the space forms. |
| |
| Keywords: | space form scalar curvature differential operator rigidity |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
