Diameter, width and thickness of spherical reduced convex bodies with an application to Wulff shapes

DOI10.1007/s13366-019-00475-6zbMath1446.52007OpenAlexW2986009070WikidataQ114687569 ScholiaQ114687569MaRDI QIDQ2181697

Marek Lassak

Publication date: 19 May 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-019-00475-6

zbMATH Keywords

thicknesswidthspherical geometrydiameterconvex bodyconstant widthWulff shapereduced bodyconstant diameterLune

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55)

Related Items (5)

Extremal problems for spherical convex polygons ⋮ Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ The area of reduced spherical polygons ⋮ The perimeter and area of reduced spherical polygons of thickness \(\pi /2\) ⋮ When is a spherical body of constant diameter of constant width?

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• Crystalline variational problems
• Reduced spherical convex bodies
• Bodies of Constant Width
• Heavenly Mathematics
• Strictly convex Wulff shapes and 𝐶¹ convex integrands
• Reduced spherical polygons

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