Harmonic spheres in outer symmetric spaces, their canonical elements and Weierstrass type representations
Differential Geometry
2016-03-14 v3
Abstract
Making use of Murakami's classification of outer involutions in a Lie algebra and following the Morse-theoretic approach to harmonic two-spheres in Lie groups introduced by Burstall and Guest, we obtain a new classification of harmonic two-spheres in outer symmetric spaces and a Weierstrass-type representation for such maps. Several examples of harmonic maps into classical outer symmetric spaces are given in terms of meromorphic functions on .
Keywords
Cite
@article{arxiv.1412.8348,
title = {Harmonic spheres in outer symmetric spaces, their canonical elements and Weierstrass type representations},
author = {N. Correia and R. Pacheco},
journal= {arXiv preprint arXiv:1412.8348},
year = {2016}
}