The width of a convex set on the sphere (original) (raw)

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The width of a convex set on the sphere

Clara GrimaClara Grima

Abstract

We study the relationship between some alternative definitions of the concept of the width of a convex set on the sphere. Those relations allow to characterize whether a convex set on the sphere can pass through a spherical interval by rigid motions. Finally, we give an optimal ...

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