Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 1, pp. 229235 (2010) 

Covering large balls with convex sets in spherical spaceKároly Bezdek and Rolf SchneiderDepartment of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., AB, Canada, T2N 1N4, email: bezdek@math.ucalgary.ca; Mathematisches Institut, AlbertLudwigsUniversität, Eckerstr. 1, D79104 Freiburg i. Br., Germany, email: rolf.schneider@math.unifreiburg.deAbstract: 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. Keywords: spherical coverings, plank problem, spherical volume, inradius Classification (MSC2000): 52A55, 52C17 Full text of the article:
Electronic version published on: 27 Jan 2010. This page was last modified: 28 Jan 2013.
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