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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2406.16276 |
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| _version_ | 1866909230132363264 |
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| author | Chen, Bo Song, Chong |
| author_facet | Chen, Bo Song, Chong |
| contents | In this paper, we derive decay estimates near isolated singularities of 3-dimensional (3d) Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group is a connected compact Lie group. As an application, we obtain removable singularity theorems for 3d Yang-Mills-Higgs fields under different types of energy conditions, which generalizes classical removable singularity theorems for 3d Yang-Mills fields~\cite{S84,SS84} and 3d harmonic maps~\cite{L85}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16276 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isolated singularities of 3-dimensional Yang-Mills-Higgs fields Chen, Bo Song, Chong Differential Geometry Analysis of PDEs In this paper, we derive decay estimates near isolated singularities of 3-dimensional (3d) Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group is a connected compact Lie group. As an application, we obtain removable singularity theorems for 3d Yang-Mills-Higgs fields under different types of energy conditions, which generalizes classical removable singularity theorems for 3d Yang-Mills fields~\cite{S84,SS84} and 3d harmonic maps~\cite{L85}. |
| title | Isolated singularities of 3-dimensional Yang-Mills-Higgs fields |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2406.16276 |