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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.17649 |
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| _version_ | 1866914277818892288 |
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| author | Han, Xiaoli Wen, Yang |
| author_facet | Han, Xiaoli Wen, Yang |
| contents | In this paper we prove that there is a neighborhood in the $C^2$ topology of the usual metric on the Euclidean sphere $S^n (n\geq 5)$ such that there is no nontrivial weakly stable Yang-Mills connections for any metric $\tilde{g}$ in this neighborhood. We also study the stability of Yang-Mills connections on the warped product manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17649 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonexistence of weakly stable Yang-Mills fields Han, Xiaoli Wen, Yang Differential Geometry In this paper we prove that there is a neighborhood in the $C^2$ topology of the usual metric on the Euclidean sphere $S^n (n\geq 5)$ such that there is no nontrivial weakly stable Yang-Mills connections for any metric $\tilde{g}$ in this neighborhood. We also study the stability of Yang-Mills connections on the warped product manifolds. |
| title | Nonexistence of weakly stable Yang-Mills fields |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2601.17649 |