Floating bodies for ball-convex bodies
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908331512168448 |
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| author | Schuett, Carsten Werner, Elisabeth M Yalikun, Diliya |
| author_facet | Schuett, Carsten Werner, Elisabeth M Yalikun, Diliya |
| contents | We define floating bodies in the class of $n$-dimensional ball-convex bodies. A right derivative of volume of these floating bodies leads to a surface area measure for ball-convex bodies which we call relative affine surface area. We show that this quantity is a rigid motion invariant, upper semi continuous valuation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15488 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Floating bodies for ball-convex bodies Schuett, Carsten Werner, Elisabeth M Yalikun, Diliya Metric Geometry 52A We define floating bodies in the class of $n$-dimensional ball-convex bodies. A right derivative of volume of these floating bodies leads to a surface area measure for ball-convex bodies which we call relative affine surface area. We show that this quantity is a rigid motion invariant, upper semi continuous valuation. |
| title | Floating bodies for ball-convex bodies |
| topic | Metric Geometry 52A |
| url | https://arxiv.org/abs/2504.15488 |