Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii
Metric Geometry
2016-06-14 v2
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.
Keywords
Cite
@article{arxiv.1601.06997,
title = {Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii},
author = {Bernardo González Merino},
journal= {arXiv preprint arXiv:1601.06997},
year = {2016}
}