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
Page view: 704Net amount: 957
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.