A THEOREM OF LIOUVlLLEfS TYPE ON HARMONIC MAPS WITH FINITE OR SLOWLY DIVERGENT ENERGY

Citation:

Hu Hesheng,Pan Yanglian.A THEOREM OF LIOUVlLLEfS TYPE ON HARMONIC MAPS WITH FINITE OR SLOWLY DIVERGENT ENERGY[J].Chinese Annals of Mathematics B,1986,7(3):345~349
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Authors:

Hu Hesheng; Pan Yanglian
Abstract: Some theorems of Liouville's type on harmonic maps from Euclidean space of conformal flat space with finite or slowly divergent energy have been obtained by the first-named author and H.C.J. Sealey, respectively. In this paper , a more general theorem is proved, which includes their results as special cases. The technique is to use a conservation law for harmonic maps.

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