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arXiv · 1601.06997

Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii

Bernardo González Merino
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Abstract

In this work we study upper bounds for the ratio of successive inner and outer radii of a convex body K. This problem was studied by Perel'man and Pukhov and it is a natural generalization of the classical results of Jung and Steinhagen. We also introduce a technique which relates sections and projections of a convex body in an optimal way.

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Bernardo González Merino. 2016-06-13. Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii. https://arxiv.org/abs/1601.06997

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