Diameters of Convex Bodies

DOI10.2307/2032240zbMath0057.38603OpenAlexW4233869331MaRDI QIDQ5831040

Preston C. Hammer

Publication date: 1954

Full work available at URL: https://doi.org/10.2307/2032240

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (18)

Bisecting envelopes of convex polygons ⋮ Maximal sections and centrally symmetric bodies ⋮ Sections and projections of nested convex bodies ⋮ Unnamed Item ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Unique local determination of convex bodies ⋮ Geometria combinatoria e geometrie finite ⋮ A characterization of the ellipsoid through planar grazes ⋮ Separability of convex sets and the concept of convexity on the surface of a convex body ⋮ Minimal simplices inscribed in a convex body ⋮ A characterization of convexity and central symmetry for planar polygonal sets ⋮ Affine diameters of convex bodies -- a survey ⋮ Asymmetry measures for convex distance functions ⋮ Affine diameters of convex bodies ⋮ Some notes about affine diameters of convex figures ⋮ On Eggleston's theorem about affine diameters ⋮ Characterizations of the Euclidean Ball by Intersections with Planes and Slabs ⋮ The average number of normals through a point in a convex body and a related Euler-type identity

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