On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911876715118592 |
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| author | Golovaty, Dmitry Montero, Alberto Sandier, Etienne Sternberg, Peter |
| author_facet | Golovaty, Dmitry Montero, Alberto Sandier, Etienne Sternberg, Peter |
| contents | In this work we extend some of the results of Ignat and Jerrard for Ginzburg-Landau vortices of tangent vector fields on two-dimensional Riemannian manifolds to the setting of complex hermitian line bundles. In particular, we elucidate the locations of vortices for the cases of Q-tensors and their higher-rank analogs on a sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08622 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy Golovaty, Dmitry Montero, Alberto Sandier, Etienne Sternberg, Peter Analysis of PDEs 35, 49 In this work we extend some of the results of Ignat and Jerrard for Ginzburg-Landau vortices of tangent vector fields on two-dimensional Riemannian manifolds to the setting of complex hermitian line bundles. In particular, we elucidate the locations of vortices for the cases of Q-tensors and their higher-rank analogs on a sphere. |
| title | On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy |
| topic | Analysis of PDEs 35, 49 |
| url | https://arxiv.org/abs/2405.08622 |