A factorization of harmonic maps into Semisimple Lie groups

preprint2016arXivOpen access

We factorize harmonic maps with values in a semisimple Lie groups in a product of harmonic maps with values in the components of the Iwasawa decomposition. In particular, we use this factorization to study the harmonic maps from $\mathbb{R}^n$ into $SL(2,\mathbb{R})$ .

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A factorization of harmonic maps into Semisimple Lie groups

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