Bisections of Centrally Symmetric Planar Convex Bodies Minimizing the Maximum Relative Diameter

@article{Caete2019BisectionsOC,
  title={Bisections of Centrally Symmetric Planar Convex Bodies Minimizing the Maximum Relative Diameter},
  author={Antonio Ca{\~n}ete and S. Segura Gomis},
  journal={Mediterranean Journal of Mathematics},
  year={2019}
}
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. 
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