Minimal unit vector fields on oscillator groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915116107169792 |
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| author | Yampolsky, Alexander |
| author_facet | Yampolsky, Alexander |
| contents | In this paper, we treat minimal left-invariant unit vector fields on oscillator group and their relations with the ones that define a harmonic map. Particularly, if all structure constants of the oscillator group are equal to each other, then all unit left invariant vector fields that define a harmonic map into the unit tangent bundle with Sasaki metric are minimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12915 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal unit vector fields on oscillator groups Yampolsky, Alexander Differential Geometry In this paper, we treat minimal left-invariant unit vector fields on oscillator group and their relations with the ones that define a harmonic map. Particularly, if all structure constants of the oscillator group are equal to each other, then all unit left invariant vector fields that define a harmonic map into the unit tangent bundle with Sasaki metric are minimal. |
| title | Minimal unit vector fields on oscillator groups |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.12915 |