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arxiv: 1506.04596 · v2 · pith:FTRUCM5Gnew · submitted 2015-06-15 · 🧮 math.DG

A factorization of harmonic maps into Semisimple Lie groups

classification 🧮 math.DG
keywords harmonicmapsfactorizationgroupsmathbbsemisimplevaluescomponents
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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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