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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.06853 |
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| _version_ | 1866911914080075776 |
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| author | Vieira, Matheus |
| author_facet | Vieira, Matheus |
| contents | In this paper we prove gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant. We extend the results of Gursky-Kelleher-Streets to complete manifolds. We also describe the equality in the gap theorem in terms of the basic instanton, which is interesting even for compact manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06853 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant Vieira, Matheus Differential Geometry In this paper we prove gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant. We extend the results of Gursky-Kelleher-Streets to complete manifolds. We also describe the equality in the gap theorem in terms of the basic instanton, which is interesting even for compact manifolds. |
| title | Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.06853 |