Stability for the Minkowski measure of convex domains of constant width

DOI10.1007/s00022-013-0175-1zbMath1290.52001OpenAlexW2000100942MaRDI QIDQ2441407

Qi Guo, Gang Song Leng, Hai Lin Jin

Publication date: 24 March 2014

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

Full work available at URL: https://doi.org/10.1007/s00022-013-0175-1

zbMATH Keywords

stabilityMinkowski measure of asymmetryconvex body of constant widthReuleaux triangle

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Complete sets in normed linear spaces

Cites Work

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• Asymmetry of convex bodies of constant width
• The stability of the Rogers-Shephard inequality and of some related inequalities
• Stability theorems for two measures of symmetry
• A note on the extremal bodies of constant width for the Minkowski measure
• Stability of the Minkowski measure of asymmetry for convex bodies
• Stability Theorems for Convex Domains of Constant Width
• Bodies of constant width in arbitrary dimension
• The Critical Set of a Convex Body
• Stability for some extremal properties of the simplex

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