| On the Regularity for Stationary Harmonic Maps |
| |
| 作者姓名： | De Liang HSU Jia Yu LI |
| |
| 作者单位： | [1]Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China [2]Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China |
| |
| 摘 要： | We prove a compactness theorem for k-indexed stationary harmonic maps, and show a regularity theorem for this kind of maps which says that the singular set of a k-indexed stationary harmonic map is of Hausdorff dimension at most m-3.
|
| 关 键 词： | 固定调和映射 莫尔斯指数 调和函数 数学分析 |
| 文章编号： | 10.1007/s10114-007-1007-8 |
| 收稿时间： | 2005-09-16 |
| 修稿时间： | 2006-12-21 |
On the regularity for stationary harmonic maps |
| |
| De Liang HSU Jia Yu LI.On the Regularity for Stationary Harmonic Maps[J].Acta Mathematica Sinica,2008,24(2):223-226. |
| |
| Authors: | Liang De Hsu Jia Yu Li |
| |
| Institution: | (1) Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200030, P. R. China;(2) Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, P. R. China |
| |
| Abstract: | We prove a compactness theorem for k-indexed stationary harmonic maps, and show a regularity theorem for this kind of maps which says that the singular set of a k-indexed stationary harmonic map is of Hausdorff dimension at most m-3. |
| |
| Keywords: | k-indexed stationary harmonic map stable stationary harmonic map blowing up Morse index |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
