Explicit construction of harmonic two-spheres into the complex Grassmannian
Differential Geometry
2010-07-26 v1
Abstract
We present an explicit description of all harmonic maps of finite uniton number from a Riemann surface into a complex Grassmannian. Namely, starting from a constant map and a collection of meromorphic functions and their derivatives, we show how to algebraically construct all harmonic maps from the two-sphere into a given Grassmannian . In this setting the uniton number depends on and and we obtain a sharp estimate for it.
Cite
@article{arxiv.1007.4143,
title = {Explicit construction of harmonic two-spheres into the complex Grassmannian},
author = {Maria Joao Ferreira and Bruno Ascenso Simoes},
journal= {arXiv preprint arXiv:1007.4143},
year = {2010}
}