| 共形平坦黎曼流形中紧致极小子流形的一个刚性定理 |
| |
| 引用本文： | 王琪. 共形平坦黎曼流形中紧致极小子流形的一个刚性定理[J]. 云南师范大学学报(自然科学版), 2013, 0(4): 29-32 |
| |
| 作者姓名： | 王琪 |
| |
| 作者单位： | 贵阳学院数学与信息科学学院,贵州贵阳550005 |
| |
| 基金项目： | 贵州省教育厅一般资助项目（黔教科2009062）. |
| |
| 摘 要： | 首先得到一个推广的Simons积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形的一个拼挤定理,推广了Li的定理.
|
| 关 键 词： | 共形平坦黎曼流形 紧致极小子流形 Ricci曲率 拼挤 |
A Pinching Theorem for Compact Minimal Sub-manifolds in a Conformally Flat Riemannian Manifold |
| |
| WANG Qi. A Pinching Theorem for Compact Minimal Sub-manifolds in a Conformally Flat Riemannian Manifold[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2013, 0(4): 29-32 |
| |
| Authors: | WANG Qi |
| |
| Affiliation: | WANG Qi (Department of Mathematics,Guiyang College,Guiyang |
| |
| Abstract: | This paper firstly works out a generalized Simons inequality and then deduces a pinc hing theorem of minimal sub manifolds in a conformally flat Riemannian manifold by using it. And this theorem generalizes Li＇s theorem. |
| |
| Keywords: | Conformally flat Riemannian manifold Compact minimal sub-manifold Ricci eurva ture Pinching |
| 本文献已被 CNKI 维普 等数据库收录！ |
