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On the regularity for stationary harmonic maps |
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| Authors: | Liang De Hsu Jia Yu Li |
| Affiliation: | (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 |
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