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arXiv · 2212.11609

An estimate of the centroid Banach-Mazur distance between planar convex bodies

Marek Lassak
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Abstract

We consider the variant of the Banach-Mazur distance $δ_{BM}^{\rm cen} (C, D)$ of two convex bodies $C, D$ of $E^d$ with the additional requirement that the centroids of them coincide. We prove that $δ_{BM}^{\rm cen} (C, D) \leq \frac{69}{17}$ for every $C, D$ of $E^2$.

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Marek Lassak. 2024-05-28. An estimate of the centroid Banach-Mazur distance between planar convex bodies. https://arxiv.org/abs/2212.11609

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