Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n$
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908834762588160 |
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| author | Mushkarov, Oleg Nikolov, Nikolai Thomas, Pascal J. |
| author_facet | Mushkarov, Oleg Nikolov, Nikolai Thomas, Pascal J. |
| contents | Lipschitz constants for the width and diameter functions of a convex body in $\mathbb R^n$ are found in terms of its diameter and thickness (maximum and minimum of both functions). Also, a dual approach to thickness is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n$ Mushkarov, Oleg Nikolov, Nikolai Thomas, Pascal J. Metric Geometry 52A20 Lipschitz constants for the width and diameter functions of a convex body in $\mathbb R^n$ are found in terms of its diameter and thickness (maximum and minimum of both functions). Also, a dual approach to thickness is proposed. |
| title | Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n$ |
| topic | Metric Geometry 52A20 |
| url | https://arxiv.org/abs/2406.12537 |