On topology estimation of submanifolds in Riemannian manifolds by random points
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918265275547648 |
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| author | Mirzaie, Reza |
| author_facet | Mirzaie, Reza |
| contents | We show that, by sampling a sufficiently large number of random points in a neighborhood of a compact submanifold M of a Riemannian manifold N, one can recover the topology of M with high confidence. This holds under the assumptions on the curvatures of M and N. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23225 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On topology estimation of submanifolds in Riemannian manifolds by random points Mirzaie, Reza Differential Geometry We show that, by sampling a sufficiently large number of random points in a neighborhood of a compact submanifold M of a Riemannian manifold N, one can recover the topology of M with high confidence. This holds under the assumptions on the curvatures of M and N. |
| title | On topology estimation of submanifolds in Riemannian manifolds by random points |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.23225 |