The Gromov-Hausdorff Distance Between Consecutive Spheres

Donghan Kim, Sunhyuk Lim, Facundo Memoli

We determine the Gromov-Hausdorff distance between consecutive unit round spheres equipped with their geodesic metrics. Put ${\zeta }_n:=\arccos (-\frac{1}{n+1}),$ the common geodesic dis…