Illumination bodies and affine surface area
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Publication:4312374
DOI10.4064/sm-110-3-257-269zbMath0813.52007OpenAlexW302612652MaRDI QIDQ4312374
Publication date: 10 November 1994
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/216113
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)
Related Items (29)
Floating and Illumination Bodies for Polytopes: Duality Results ⋮ Surface bodies and \(p\)-affine surface area ⋮ Dual Orlicz affine surface area ⋮ New higher-order equiaffine invariants ⋮ Contributions to affine surface area ⋮ Illumination Depth ⋮ \(L_{p}\)-mixed affine surface area ⋮ The illumination bodies of a simplex ⋮ The Löwner function of a log-concave function ⋮ Approximation Properties of Random Polytopes Associated with Poisson Hyperplane Processes ⋮ The generalized \(L_p\)-mixed affine surface area ⋮ Ulam floating functions ⋮ On bodies floating in equilibrium in every orientation ⋮ New \(L_p\) affine isoperimetric inequalities ⋮ Rényi divergence and \(L_p\)-affine surface area for convex bodies ⋮ Extremal general affine surface areas ⋮ \(L_p\)-dual affine surface area ⋮ A new type of Brunn-Minkowski inequality for affine surface area and its applications ⋮ Relative entropies for convex bodies ⋮ Inequalities for mixed \(p\)-affine surface area ⋮ A generalized affine isoperimetric inequality ⋮ On the convex hull and homothetic convex hull functions of a convex body ⋮ Cyclic Brunn-Minkowski inequalities forp-affine surface area ⋮ The Santaló-regions of a convex body ⋮ On the \(p\)-affine surface area ⋮ Separation bodies: a conceptual dual to floating bodies ⋮ Sectional bodies associated with a convex body ⋮ The \(i\)th \(p\)-geominimal surface area ⋮ The \(i\)th \(p\)-affine surface area
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