Extended solutions of the harmonic map equation in the special unitary group
Differential Geometry
2013-04-17 v1
Abstract
We classify all harmonic maps of finite uniton number from a Riemann surface into SU(n) in terms of certain pieces of the Bruhat decomposition of the subgroup of algebraic loops in SU(n). We give a description of the "Frenet frame data" for such harmonic maps in a given class.
Cite
@article{arxiv.1304.4264,
title = {Extended solutions of the harmonic map equation in the special unitary group},
author = {N. Correia and R. Pacheco},
journal= {arXiv preprint arXiv:1304.4264},
year = {2013}
}