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arXiv · 2504.15488

Floating bodies for ball-convex bodies

Carsten Schuett·Elisabeth M Werner·Diliya Yalikun
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Abstract

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.

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Carsten Schuett, Elisabeth M Werner, Diliya Yalikun. 2025-04-21. Floating bodies for ball-convex bodies. https://arxiv.org/abs/2504.15488

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