AN NONEXISTENCE THEOREM FOR HARMONIC MAPS WITH SLOWLY DIVERGENT ENERGY

Citation:

Hu Hesheng.AN NONEXISTENCE THEOREM FOR HARMONIC MAPS WITH SLOWLY DIVERGENT ENERGY[J].Chinese Annals of Mathematics B,1984,5(4):737~740
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Authors:

Hu Hesheng;
Abstract: It is proved that a harmonic map or a relative harmonic map from Euclidean space $\[{R^n}(n \ne 2)\]$ into an m-dimensional Riemannian manifold $\[{M_m}\]$ with finite energy or slowly divergent energy must be a constant map. Some physical applications are also presented.

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