Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space

DOI10.1007/s00022-024-00714-9arXiv2303.16814MaRDI QIDQ6131542

Á. Sagmeister, Károly jun. Böröczky, András Csépai

Publication date: 5 April 2024

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.16814

zbMATH Keywords

hyperbolic geometryconvex geometrycomplete setsbodies of constant widthwidth function

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Spherical and hyperbolic convexity (52A55) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

• Unnamed Item
• Spherical bodies of constant width
• Completeness and constant width in spherical and hyperbolic spaces
• The Jung theorem for spherical and hyperbolic spaces
• Diameter, width and thickness in the hyperbolic plane
• The isodiametric problem on the sphere and in the hyperbolic space
• The geometry of Minkowski spaces -- a survey. II.
• Curves of constant width in the non-Euclidean geometry
• Stability of the isodiametric problem on the sphere and in the hyperbolic space
• SETS OF CONSTANT WIDTH AND INEQUALITIES
• Convex Bodies The Brunn-MinkowskiTheory
• Barbier's Theorem in the Lobachevski Plane
• Note on convex curves on the hyperbolic plane
• Convex Bodies of Constant Width in Spaces of Constant Curvature and the Extremal Area of Reuleaux Triangles

This page was built for publication: Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space