Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

[摘要] 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.

[关键词] homogeneous space;harmonic maps;Darboux derivative