Type-I Blowup Solutions for Yang-Mills Flow
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909408120799232 |
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| author | Kim, Jaehwan Lee, Sanghoon |
| author_facet | Kim, Jaehwan Lee, Sanghoon |
| contents | In this paper, we construct an infinite-dimensional family of solutions for the Yang-Mills flow on $\mathbb{R}^n \times SO(n)$ for $5 \leq n \leq 9$, which converge to $SO(n)$-equivariant homothetically shrinking solitons, modulo the gauge group. As a corollary, we prove the existence of asymmetric Type-I blowup solutions for the Yang-Mills flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19293 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Type-I Blowup Solutions for Yang-Mills Flow Kim, Jaehwan Lee, Sanghoon Differential Geometry 53E99 In this paper, we construct an infinite-dimensional family of solutions for the Yang-Mills flow on $\mathbb{R}^n \times SO(n)$ for $5 \leq n \leq 9$, which converge to $SO(n)$-equivariant homothetically shrinking solitons, modulo the gauge group. As a corollary, we prove the existence of asymmetric Type-I blowup solutions for the Yang-Mills flow. |
| title | Type-I Blowup Solutions for Yang-Mills Flow |
| topic | Differential Geometry 53E99 |
| url | https://arxiv.org/abs/2411.19293 |