Packing convex bodies by cylinders
Metric Geometry
2016-03-22 v2
Abstract
In [BL] in relation to the unsolved Bang's plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex body. In this paper we provide the packing counterpart of these estimates. We also extend bounds to the case of r-fold covering and packing and show a packing analog of Falconer's results ([Fa]).
Keywords
Cite
@article{arxiv.1507.05115,
title = {Packing convex bodies by cylinders},
author = {Karoly Bezdek and Alexander Litvak},
journal= {arXiv preprint arXiv:1507.05115},
year = {2016}
}
Comments
14 pages