Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture
Differential Geometry
2024-08-23 v1
Abstract
In this paper, we discuss the associated family of harmonic maps from a Riemann surface into inner symmetric spaces of compact or non-compact type which are either algebraic or totally symmetric. These notions are the two components of the definition of a harmonic map of finite uniton number, as stated by [2]. We finish this paper by comparing these to notions and by stating a conjecture.
Keywords
Cite
@article{arxiv.2408.12487,
title = {Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture},
author = {Josef F. Dorfmeister and Peng Wang},
journal= {arXiv preprint arXiv:2408.12487},
year = {2024}
}
Comments
23 pages. Partial content of the paper comes from the first part of arXiv:1305.2514v2