Floating bodies for ball‐convex bodies
Abstract We define floating bodies in the class of ‐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 semicontinuous valuation.
Authors
- Carsten Schütt
- Elisabeth M. Werner (ORCID: https://orcid.org/0000-0001-9602-2172)
- Diliya Yalikun
Institutions
- Hochschule für Angewandte Wissenschaften Kiel (DE)
- Christian-Albrechts-Universität zu Kiel (DE)
- Case Western Reserve University (US)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1112/jlms.70387
- Citations
- 2
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 7.45