Some results about equichordal convex bodies

DOI10.1007/s00454-023-00543-8zbMath1529.52001arXiv2108.12753OpenAlexW3196803969MaRDI QIDQ6142365

Francisco G. Jimenez-Lopez, E. Morales-Amaya, Jesús Jerónimo-Castro

Publication date: 21 December 2023

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12753

zbMATH Keywords

Euclidean sphereisoptic curvesequichordal convex body

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck
• An isoperimetric inequality for isoptic curves of convex bodies
• On convex bodies with isoptic chords of constant length
• Floating Bodies of Equilibrium
• Bodies of Constant Width
• Determination of convex bodies by certain sets of sectional volumes

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