Packing convex bodies by cylinders

Karoly Bezdek; Alexander Litvak

doi:10.1007/s00454-016-9760-z

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arXiv · 1507.05115

Packing convex bodies by cylinders

Karoly Bezdek·Alexander Litvak

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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]).

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BibTeX RIS

Karoly Bezdek, Alexander Litvak. 2015-11-21. Packing convex bodies by cylinders. https://doi.org/10.1007/s00454-016-9760-z

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