Spherical bodies of constant width

DOI10.1007/s00010-018-0558-3zbMath1396.52018arXiv1801.01161OpenAlexW2963104790MaRDI QIDQ1662418

Michał Musielak, Marek Lassak

Publication date: 20 August 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01161

zbMATH Keywords

extreme pointthicknesswidthspherical geometrydiameterconstant widthhemispherelunespherical convex body

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55)

Related Items (12)

Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ Diameter, width and thickness of spherical reduced convex bodies with an application to Wulff shapes ⋮ On a strengthening of the Blaschke-Leichtweiss theorem ⋮ Complete spherical convex bodies ⋮ 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 ⋮ Maximum and minimum of support functions ⋮ Covering a reduced spherical polygon by a disk ⋮ Width of convex bodies in hyperbolic space ⋮ Constant diameter and constant width of spherical convex bodies ⋮ Covering of a reduced spherical body by a disk ⋮ When is a spherical body of constant diameter of constant width?

Cites Work

• Reduced convex bodies in Euclidean space -- a survey
• Self-dual Wulff shapes and spherical convex bodies of constant width \({\pi}/{2}\)
• Hunting for reduced polytopes
• Width of spherical convex bodies
• Curves of constant width in the non-Euclidean geometry
• Reduced spherical convex bodies
• Heavenly Mathematics
• Note on convex spherical curves
• Kleine Studie zur Kombinatorischen Geometrie der Sphäre
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