Hausdorff vs Gromov-Hausdorff distances

Henry Adams, Florian Frick, Sushovan Majhi +1

Let $M$ be a closed Riemannian manifold and let $X\subseteq M$. If the sample $X$ is sufficiently dense relative to the curvature of $M$, then the Gromov-Hausdorff distance between…