An estimate of the centroid Banach-Mazur distance between planar convex bodies
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917677226786816 |
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| author | Lassak, Marek |
| author_facet | Lassak, Marek |
| contents | 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 $E^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11609 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An estimate of the centroid Banach-Mazur distance between planar convex bodies Lassak, Marek Metric Geometry 52A10 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 $E^2$. |
| title | An estimate of the centroid Banach-Mazur distance between planar convex bodies |
| topic | Metric Geometry 52A10 |
| url | https://arxiv.org/abs/2212.11609 |