On the Regularity for Stationary Harmonic Maps  

作　　者：De Liang HSU Jia Yu LI 

机构地区：[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

出　　处：《Acta Mathematica Sinica,English Series》2008年第2期223-226,共4页数学学报（英文版）

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.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：k-indexed stationary harmonic map stable stationary harmonic map blowing up Morse index 

分 类 号：O174.3[理学—数学]