A factorization of harmonic maps into Semisimple Lie groups

2015/06/15 by Simão N. Stelmastchuk, Stelmastchuk, Simão N.
Mathematics · #22E46 #53C43 #58E20 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1506.04596

openalex publication_date 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 into SL(2,ℝ).

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