Diameter, width and thickness in the hyperbolic plane

DOI10.1007/s00022-021-00613-3zbMath1477.52007arXiv2011.14739OpenAlexW3210108272WikidataQ115609506 ScholiaQ115609506MaRDI QIDQ2051399

Ákos G. Horváth

Publication date: 24 November 2021

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

Full work available at URL: https://arxiv.org/abs/2011.14739

zbMATH Keywords

hyperbolic planewidth functionconstant width propertydiameter of a convex setthickness of a convex set

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (2)

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

Cites Work

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• Affine diameters of convex bodies -- a survey
• Minimum area of a set of constant width in the hyperbolic plane
• Barbier's theorem for the sphere and the hyperbolic plane
• When is a spherical body of constant diameter of constant width?
• Curves of constant width in the non-Euclidean geometry
• On the hyperbolic triangle centers
• Barbier's Theorem in the Lobachevski Plane
• Note on convex curves on the hyperbolic plane

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