Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter
Metric Geometry
2018-03-02 v1
Abstract
In this paper we study the bisections of a centrally symmetric planar convex body which minimize the maximum relative diameter functional. We give necessary and sufficient conditions for being a minimizing bisection, as well as analyzing the behavior of the so-called standard bisection.
Keywords
Cite
@article{arxiv.1803.00321,
title = {Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter},
author = {Antonio Cañete and Salvador Segura Gomis},
journal= {arXiv preprint arXiv:1803.00321},
year = {2018}
}
Comments
16 pages, 14 figures