English

A factorization of harmonic maps into Semisimple Lie groups

Differential Geometry 2016-08-22 v2

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 Rn\mathbb{R}^n into SL(2,R)SL(2,\mathbb{R}).

Keywords

Cite

@article{arxiv.1506.04596,
  title  = {A factorization of harmonic maps into Semisimple Lie groups},
  author = {Simão N. Stelmastchuk},
  journal= {arXiv preprint arXiv:1506.04596},
  year   = {2016}
}

Comments

In this version we fixed the accounts to find the geodesics into $SL(2,\mathbb{R})$

R2 v1 2026-06-22T09:53:45.329Z