Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
arXiv:1404.0720 · doi:10.3842/SIGMA.2015.069
Abstract
Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, our work covers all type of invariant geometry in homogeneous space.