Characterizations of ellipsoids by section-centroid location

DOI10.1007/BF00147465zbMath0683.52002OpenAlexW1978080809MaRDI QIDQ1824861

Mathieu Meyer, Shlomo Reisner

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00147465

zbMATH Keywords

convex bodyellipsoid

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

Homothetic floating bodies ⋮ The volume of the intersection of a convex body with its translates ⋮ A Fourier analytic proof of the Blaschke-Santaló Inequality ⋮ A reverse Minkowski-type inequality ⋮ The topological type of the \(\alpha \)-sections of convex sets ⋮ Further characterization of ellipsoids ⋮ Characterization of ellipsoids and polarity in convex sets ⋮ Ulam floating bodies ⋮ THE CONVEX INTERSECTION BODY OF A CONVEX BODY ⋮ ELLIPSOIDS ARE THE ONLY LOCAL MAXIMIZERS OF THE VOLUME PRODUCT ⋮ Polytopes of maximal volume product

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