Veronese minimizes normal curvatures
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917957463965696 |
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| author | Petrunin, Anton |
| author_facet | Petrunin, Anton |
| contents | Suppose M is a closed submanifold in a Euclidean ball of sufficiently large dimension. We give an optimal bound on the normal curvatures, guaranteeing that M is a sphere. The border cases consist of Veronese embeddings of the four projective planes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05909 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Veronese minimizes normal curvatures Petrunin, Anton Differential Geometry 53A07, 53C20, 53C40, 53C35 Suppose M is a closed submanifold in a Euclidean ball of sufficiently large dimension. We give an optimal bound on the normal curvatures, guaranteeing that M is a sphere. The border cases consist of Veronese embeddings of the four projective planes. |
| title | Veronese minimizes normal curvatures |
| topic | Differential Geometry 53A07, 53C20, 53C40, 53C35 |
| url | https://arxiv.org/abs/2408.05909 |