REGULARITY OF HARMONIC MAPS INTO POSITIVELY CURVED MANIFOLDS
Citation：
Xin Yuanlong（忻元龙）.REGULARITY OF HARMONIC MAPS INTO POSITIVELY CURVED MANIFOLDS[J].Chinese Annals of Mathematics B,1992,13(4):385~395
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Authors：
Xin Yuanlong（忻元龙）;
Abstract：
Let M be a compact riemannian manifold of dimension m,N a complete simply connected $\delta$-pinched Riemannian manifold of dimension n.There exists a constant d(n).It is proved that if $m\leq d(n)$,then every minimizing map from M into N is smooth in the interior of M.If $m=d(n)+1$,such a map has at most discrete singular set and in general the Hausdorff dimension of the singular set is at most m-d(n)-1.
