Covering Large Balls with Convex Sets in Spherical Space

Details Covering Large Balls with Convex Sets in Spherical Space Covering Large Balls with Convex Sets in Spherical Space

2011-10-19

arxiv.org/abs/1110.4316v1

Beitr\"age Algebra Geom. 51 (2010), no. 1, 229-235

Mathematics

Metric Geometry

7 pages

Scientific paper

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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