Covering Large Balls with Convex Sets in Spherical Space
classification
🧮 math.MG
keywords
bodiesconvexballsboundcasecharacterizedcoveredcovering
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If the n-dimensional unit sphere is covered by finitely many spherically convex bodies, then the sum of the inradii of these bodies is at least {\pi}. This bound is sharp, and the equality case is characterized.
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