On topology estimation of submanifolds in Riemannian manifolds by random points

Reza Mirzaie

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arXiv · 2512.23225

On topology estimation of submanifolds in Riemannian manifolds by random points

Reza Mirzaie

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Abstract

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.

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BibTeX RIS

Reza Mirzaie. 2025-12-29. On topology estimation of submanifolds in Riemannian manifolds by random points. https://arxiv.org/abs/2512.23225

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