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arXiv · 1711.01787

Extremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane

Tomasz Kobos
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Abstract

We prove that if $K, L \subset \mathbb{R}^2$ are convex bodies such that $L$ is symmetric and the Banach-Mazur distance between $K$ and $L$ is equal to $2$, then $K$ is a triangle.

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Tomasz Kobos. 2017-11-06. Extremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane. https://doi.org/10.1112/mtk.12013

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