Dual mean Minkowski measures and the Grünbaum conjecture for affine diameters

DOI10.2140/pjm.2018.292.117zbMath1376.52001OpenAlexW2762247920MaRDI QIDQ2408268

Qi Guo, Gábor Tóth

Publication date: 12 October 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/84a2538c8d4aed3d37374c1ecda15178e886401c

zbMATH Keywords

dualconvex bodyaffine diameterMinkowski measure

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Convex functions and convex programs in convex geometry (52A41) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (2)

Bisecting envelopes of convex polygons ⋮ Dual mean Minkowski measures of symmetry for convex bodies

Cites Work

• Dual mean Minkowski measures of symmetry for convex bodies
• Affine diameters of convex bodies -- a survey
• Asymmetry of convex bodies of constant width
• On the structure of convex sets with symmetries
• Simplicial intersections of a convex set and moduli for spherical minimal immersions
• On the shape of the moduli of spherical minimal immersions
• Bodies of constant width in arbitrary dimension
• Convex Bodies The Brunn-MinkowskiTheory
• Convex Bodies Associated with a Convex Body
• The Critical Set of a Convex Body
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