Inequalities for the Difference Body of a Convex Body

DOI10.2307/2035131zbMath0173.24801OpenAlexW4230119724MaRDI QIDQ5560879

Gulbank D. Chakerian

Publication date: 1967

Full work available at URL: https://doi.org/10.2307/2035131

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (20)

Packing convex bodies by cylinders ⋮ Covering convex bodies by cylinders and lattice points by flats ⋮ Minkowski valuations under volume constraints ⋮ The role of the Rogers-Shephard inequality in the characterization of the difference body ⋮ Random sections of spherical convex bodies ⋮ Minkowski additive operators under volume constraints ⋮ Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive ⋮ An Inequality for Sections and Projections of a Convex Set ⋮ Volume bounds for shadow covering ⋮ Central tendency for symmetric random fuzzy numbers ⋮ Chord power integrals and radial mean bodies ⋮ Electromagnetic wave propagation and inequalities for moments of chord lengths ⋮ Remarks on an inequality of Rogers and Shephard ⋮ Sharp inequalities for the mean distance of random points in convex bodies ⋮ On Godbersen's conjecture ⋮ Random affine simplexes ⋮ Zur Charakterisierung konvexer Körper: Über einen Satz von Rogers und Shephard ⋮ Rogers-Shephard type inequalities for sections ⋮ Eine Verallgemeinerung des Differenzenkörpers ⋮ Choquet simplexes in finite dimension -- a survey.

Cites Work

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• The difference body of a convex body
• Some semicontinuity theorems for convex polytopes and cell-complexes
• Der zentralsymmetrische Kern und die zentralsymmetrische Hülle von konvexen Körpern
• Convex Bodies Associated with a Given Convex Body

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