SETS OF CONSTANT WIDTH AND INEQUALITIES

DOI10.1093/qmath/32.3.345zbMath0468.52009OpenAlexW2071841287MaRDI QIDQ3921769

Paul R. Scott

Publication date: 1981

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/32.3.345

zbMATH Keywords

isoperimetric inequalitydiameterinscribed spheresets of constant widthcircumscrited sphere

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 (11)

On the strong attraction limit for a class of nonlocal interaction energies ⋮ Complete sets in normed linear spaces ⋮ On the maximal circumradius of a planar convex set containing one lattice point ⋮ Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space ⋮ A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of \(\mathbb{R}^n\) ⋮ The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant ⋮ Convex values and Lipschitz behavior of the complete hull mapping ⋮ The geometry of Minkowski spaces -- a survey. II. ⋮ Preassigning the shape for bodies of constant width ⋮ An extension of Jung's theorem ⋮ Circumradius-diameter and width-inradius relations for lattice constrained convex sets

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