A duality theorem for harmonic maps into inner symmetric spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909293721157632 |
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| author | Dorfmeister, Josef F. Wang, Peng |
| author_facet | Dorfmeister, Josef F. Wang, Peng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_00885 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A duality theorem for harmonic maps into inner symmetric spaces Dorfmeister, Josef F. Wang, Peng Differential Geometry 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. |
| title | A duality theorem for harmonic maps into inner symmetric spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1903.00885 |