Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914920880144384 |
|---|---|
| author | Dorfmeister, Josef F. Wang, Peng |
| author_facet | Dorfmeister, Josef F. Wang, Peng |
| contents | In this paper, we discuss the associated family of harmonic maps $\mathcal{F}: M \rightarrow G/K$ from a Riemann surface $M$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture Dorfmeister, Josef F. Wang, Peng Differential Geometry In this paper, we discuss the associated family of harmonic maps $\mathcal{F}: M \rightarrow G/K$ from a Riemann surface $M$ 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. |
| title | Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.12487 |