A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866910300011233280 |
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| author | Slobodeanu, Radu |
| author_facet | Slobodeanu, Radu |
| contents | We present a steady Euler flow on the round 3-sphere whose velocity vector field has the property of having two independent first integrals, being tangent to the fibres of an almost submersion onto the 2-sphere. This submersion turns out to be a critical point for the quartic Faddeev-Skyrme model with a standard potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1909_09054 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution Slobodeanu, Radu Differential Geometry High Energy Physics - Theory Mathematical Physics We present a steady Euler flow on the round 3-sphere whose velocity vector field has the property of having two independent first integrals, being tangent to the fibres of an almost submersion onto the 2-sphere. This submersion turns out to be a critical point for the quartic Faddeev-Skyrme model with a standard potential. |
| title | A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution |
| topic | Differential Geometry High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/1909.09054 |