Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China
Abstract:
In this paper we investigate the regularity of stable-stationary harmonic maps. By assuming that the target manifolds do not carry any stable harmonic , we obtain some compactness results and regularity theorems. In particular, we prove that the Hausdorff dimension of the singular set of these maps cannot exceed , and the dimension estimate is optimal.