Affine diameters of convex bodies

DOI10.1090/proc12746zbMath1335.52006arXiv1403.7158OpenAlexW2036254128MaRDI QIDQ2789877

Daniel Hug, Rolf Schneider, Imre Bárány

Publication date: 2 March 2016

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

Full work available at URL: https://arxiv.org/abs/1403.7158

zbMATH Keywords

convex bodiesaffine diametres

Mathematics Subject Classification ID

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

Related Items (4)

Bisecting envelopes of convex polygons ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Regularity of the distance function from arbitrary closed sets ⋮ The classification of convex polygons with triangular area or perimeter bisecting deltoids

Cites Work

• Affine diameters of convex bodies -- a survey
• Some analytical properties of geodesically convex sets
• Diameters in Typical Convex Bodies
• Convex Bodies Associated with a Given Convex Body
• Convex Bodies The Brunn-MinkowskiTheory
• Planar Line Families. II
• Diameters of Convex Bodies
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