Harmonic maps of finite uniton number into G2

@article{Correia2010HarmonicMO,
  title={Harmonic maps of finite uniton number into G2},
  author={N. Correia and Rui Pacheco},
  journal={Mathematische Zeitschrift},
  year={2010},
  volume={271},
  pages={13-32}
}
We establish explicit formulae for canonical factorizations of extended solutions corresponding to harmonic maps of finite uniton number into the exceptional Lie group G2 in terms of the Grassmannian model for the group of based algebraic loops in G2. A description of the “Frenet frame data” for such harmonic maps is given. In particular, we show that harmonic spheres into G2 correspond to solutions of certain algebraic systems of quadratic and cubic equations. 
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