A duality theorem for harmonic maps into inner symmetric spaces
Differential Geometry
2024-08-26 v2
Abstract
In this note, we show that for any harmonic map into a non-compact symmetric space one can find naturally a "dual" harmonic map into a compact symmetric space which can be constructed from the same basic data (called "potentials" in the loop group formalism). Locally also the inverse/converse duality theorem holds.
Cite
@article{arxiv.1903.00885,
title = {A duality theorem for harmonic maps into inner symmetric spaces},
author = {Josef F. Dorfmeister and Peng Wang},
journal= {arXiv preprint arXiv:1903.00885},
year = {2024}
}
Comments
13 pages. Following the suggestion of some anonymous referee we have divided the paper entitled "Willmore surfaces in spheres via loop groups I: generic cases and some examples "(arXiv:1301.2756) into three parts. The present paper is part III and [6,7] are part I and part II respectively