Author

Sunhyuk Lim

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Preprint Aug 2026

The Gromov-Hausdorff Distance Between Consecutive Spheres

We determine the Gromov-Hausdorff distance between consecutive unit round spheres equipped with their geodesic metrics. Put $\zeta_n:=\arccos(-\tfrac{1}{n+1}),$ the common geodesic distance between distinct vertices of a regular simplex with $n+2$ vertices inscribed in $\mathbb{S}^n$. We prove that $$ d_{\mathrm{GH}}(\...

Donghan Kim, Sunhyuk Lim, Facundo Mémoli · 1 citation · ⚡1