Covering Large Balls with Convex Sets in Spherical Space
Metric Geometry
2011-10-20 v1
Abstract
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.
Cite
@article{arxiv.1110.4316,
title = {Covering Large Balls with Convex Sets in Spherical Space},
author = {Karoly Bezdek and Rolf Schneider},
journal= {arXiv preprint arXiv:1110.4316},
year = {2011}
}
Comments
7 pages