Fine structure of convex sets from asymmetric viewpoint

DOI10.1007/s13366-011-0019-9zbMath1225.52004OpenAlexW1985090866MaRDI QIDQ536154

Gábor Tóth

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.1007/s13366-011-0019-9

zbMATH Keywords

distortionconvex bodiesconvex polytopesmeasure of symmetry

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Dual mean Minkowski measures of symmetry for convex bodies ⋮ Minimal simplices inscribed in a convex body ⋮ The mean Minkowski measures for convex bodies of constant width

Cites Work

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• On the structure of convex sets with symmetries
• On the structure of convex sets with applications to the moduli of spherical minimal immersions
• Simplicial intersections of a convex set and moduli for spherical minimal immersions
• On a problem of Steinhaus
• On the shape of the moduli of spherical minimal immersions
• Asymmetry of convex sets with isolated extreme points
• Carathéodory's theorem and \(H\)-convexity

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