Convex Bodies of Constant Width in Spaces of Constant Curvature and the Extremal Area of Reuleaux Triangles

DOI10.1556/012.2022.01528OpenAlexW4312005977MaRDI QIDQ5870600

Á. Sagmeister, Károly jun. Böröczky

Publication date: 23 January 2023

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16636

zbMATH Keywords

stabilitycompletenessspherical geometryhyperbolic geometryReuleaux trianglesets of constant widthBlaschke-Lebesgue theorem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Spherical and hyperbolic convexity (52A55)

Related Items (3)

Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space ⋮ Stability of the isodiametric problem on the sphere and in the hyperbolic space ⋮ Width of convex bodies in hyperbolic space

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