Harmonic maps of finite uniton number into $G_2$
Differential Geometry
2010-07-27 v1
Abstract
We establish explicit formulae for canonical factorizations of extended solutions corresponding to harmonic maps of finite uniton number into the exceptional Lie group in terms of the Grassmannian model for the group of based algebraic loops in . A description of the ``Frenet frame data" for such harmonic maps is given. In particular, we show that harmonic spheres into correspond to solutions of certain algebraic systems of quadratic and cubic equations.
Keywords
Cite
@article{arxiv.1007.4477,
title = {Harmonic maps of finite uniton number into $G_2$},
author = {N. Correia and R. Pacheco},
journal= {arXiv preprint arXiv:1007.4477},
year = {2010}
}