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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.05775 |
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| _version_ | 1866913345705082880 |
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| author | Cucinotta, Alessandro Fiorani, Francesco |
| author_facet | Cucinotta, Alessandro Fiorani, Francesco |
| contents | We show that the Hausdorff dimension of the singular set of perimeter minimizers in non-collapsed Ricci limit spaces with a two-sided Ricci curvature bound is at most $N-5$, where $N$ is the dimension of the ambient space. The estimate is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound Cucinotta, Alessandro Fiorani, Francesco Differential Geometry We show that the Hausdorff dimension of the singular set of perimeter minimizers in non-collapsed Ricci limit spaces with a two-sided Ricci curvature bound is at most $N-5$, where $N$ is the dimension of the ambient space. The estimate is sharp. |
| title | On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2405.05775 |