Asymmetry of convex sets with isolated extreme points

DOI10.1090/S0002-9939-08-09499-9zbMath1165.52005MaRDI QIDQ3600610

Gábor Tóth

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convex bodiesmeasures of symmetry

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Bisecting envelopes of convex polygons ⋮ On the structure of convex sets with symmetries ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Minimal simplices inscribed in a convex body ⋮ The mean Minkowski measures for convex bodies of constant width ⋮ Fine structure of convex sets from asymmetric viewpoint

Cites Work

• 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
• Convex Polytopes
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