A factorization of harmonic maps into Semisimple Lie groups

Simão N. Stelmastchuk

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arXiv · 1506.04596

A factorization of harmonic maps into Semisimple Lie groups

Simão N. Stelmastchuk

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Abstract

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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Simão N. Stelmastchuk. 2015-06-15. A factorization of harmonic maps into Semisimple Lie groups. https://arxiv.org/abs/1506.04596

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