Adding a uniton via the DPW method
Differential Geometry
2007-12-11 v1
Abstract
In this paper we describe how the operation of adding a uniton arises via the DPW method of obtaining harmonic maps into compact Riemannian symmetric spaces out of certain holomorphic one forms. We exploit this point of view to investigate which unitons preserve finite type property of harmonic maps. In particular, we prove that the Gauss bundle of a harmonic map of finite type into a Grassmannian is also of finite type.
Keywords
Cite
@article{arxiv.0712.1551,
title = {Adding a uniton via the DPW method},
author = {N. Correia and R. Pacheco},
journal= {arXiv preprint arXiv:0712.1551},
year = {2007}
}
Comments
13 pages