A theorem of Liouville's type on harmonic maps with finite or slowly divergent energy (Q1089650)
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scientific article; zbMATH DE number 4005186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem of Liouville's type on harmonic maps with finite or slowly divergent energy |
scientific article; zbMATH DE number 4005186 |
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A theorem of Liouville's type on harmonic maps with finite or slowly divergent energy (English)
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1986
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Let M,g be a Riemannian manifold. The authors give conditions on g guaranteeing that a harmonic map \(\phi\) of finite or slowly diverging energy from M to another Riemannian manifold will be constant. They start from a theorem due to \textit{H. C. J. Seale} [Math. Proc. Camb. Philos. Soc. 91, 441-452 (1982; Zbl 0494.58002)].
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harmonic map \(\phi \) of finite or slowly diverging energy
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