| 刘华侨.极小子流形刚性的若干结果[J].数学年刊A辑,2009,30(3):297~308 |
| 极小子流形刚性的若干结果 |
| Some Rigidity Results of Minimal Submanifold |
| |
| DOI： |
| 中文关键词: 极小子流形 Bochner型不等式 L2-Sobolev不等式 刚性定理 曲率估计 |
| 英文关键词:Minimal submanifold, Bochner type inequality, L2-Sobolev in-
equality, Rigidity theorem, Curvature estimate |
| 基金项目: |
|
| Hits: 924 |
| Download times: 770 |
| 中文摘要: |
| 利用欧氏空间子流形上的Bochner公式,结合极小子流形上存在的L2-Sobolev不等式,将Ni Lei的具有上界"total scalar curvature"的极小超曲面的刚性定理的结果推广到极小子流形的情形,并得到了关于极小子流形的一个曲率估计. |
| 英文摘要: |
| By using the Bochner type inequality of submanifold in Euclidean space, com-
bining with the L2-Sobolev inequality on minimal submanifold, the author generalizes Ni
Lei’s rigidity result of the minimal hypersurface with finite total scalar curvature to the case
of minimal submanifold, and also gets a curvature estimate. |
| View Full Text View/Add Comment Download reader |
| Close |
|
|
|
|
|
