A note on the extremal bodies of constant width for the Minkowski measure

DOI10.1007/s10711-012-9769-2zbMath1269.52009OpenAlexW2046077815MaRDI QIDQ1953081

Qi Guo, Hai Lin Jin

Publication date: 7 June 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-012-9769-2

zbMATH Keywords

completionconstant widthasymmetry measuresMeissner's body

Mathematics Subject Classification ID

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

Related Items (11)

The log-Minkowski measure of asymmetry for convex bodies ⋮ Dual mean Minkowski measures of symmetry for convex bodies ⋮ Asymmetry for convex body of revolution ⋮ Complete sets in normed linear spaces ⋮ The circumradius of planar reduced convex bodies ⋮ Stability for the Minkowski measure of convex domains of constant width ⋮ On the 1-measure of asymmetry for convex bodies of constant width ⋮ Mixed volumes and measures of asymmetry ⋮ Two measures of asymmetry for revolutionary constant width bodies in \(\mathbb{R}^3\) ⋮ The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant ⋮ Electrostatic capacity and measure of asymmetry

Cites Work

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• Asymmetry of convex bodies of constant width
• Stability of the Minkowski measure of asymmetry for convex bodies
• A Note on Sets of Constant Width
• The Critical Set of a Convex Body

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