Generic regularity of isoperimetric regions in dimension eight
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914140116746240 |
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| author | Marshall-Stevens, Kobe Niu, Gongping Parise, Davide |
| author_facet | Marshall-Stevens, Kobe Niu, Gongping Parise, Davide |
| contents | We establish generic regularity results for isoperimetric regions in closed Riemannian manifolds of dimension eight. In particular, we show that every isoperimetric region has a smooth nondegenerate boundary for a generic choice of smooth metric and enclosed volume, or for a fixed enclosed volume and a generic choice of smooth metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03795 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic regularity of isoperimetric regions in dimension eight Marshall-Stevens, Kobe Niu, Gongping Parise, Davide Differential Geometry Analysis of PDEs 53A10, 49Q10, 49Q20 We establish generic regularity results for isoperimetric regions in closed Riemannian manifolds of dimension eight. In particular, we show that every isoperimetric region has a smooth nondegenerate boundary for a generic choice of smooth metric and enclosed volume, or for a fixed enclosed volume and a generic choice of smooth metric. |
| title | Generic regularity of isoperimetric regions in dimension eight |
| topic | Differential Geometry Analysis of PDEs 53A10, 49Q10, 49Q20 |
| url | https://arxiv.org/abs/2511.03795 |