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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2602.15666 |
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| _version_ | 1866914334961041408 |
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| author | Han, Xiaoli Wen, Yang |
| author_facet | Han, Xiaoli Wen, Yang |
| contents | In this article, we establish pinching conditions under which all weakly stable Yang-Mills connections on compact manifolds are flat. As a corollary, we provide a dimension-dependent constant $δ(n)$ and prove that there exist no non-flat weakly stable Yang-Mills connections on $δ(n)$-pinched compact simply-connected Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15666 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The stability of Yang-Mills connections on $δ$-pinched manifolds Han, Xiaoli Wen, Yang Differential Geometry In this article, we establish pinching conditions under which all weakly stable Yang-Mills connections on compact manifolds are flat. As a corollary, we provide a dimension-dependent constant $δ(n)$ and prove that there exist no non-flat weakly stable Yang-Mills connections on $δ(n)$-pinched compact simply-connected Riemannian manifolds. |
| title | The stability of Yang-Mills connections on $δ$-pinched manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2602.15666 |