Characterizations of ellipsoids

DOI10.1007/BF01210721zbMath0595.52004OpenAlexW2025081043MaRDI QIDQ1077717

Gabriele Bianchi, Peter M. Gruber

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210721

zbMATH Keywords

ellipsoidscentrally symmetric

Mathematics Subject Classification ID

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

Related Items

Sections and projections of nested convex bodies ⋮ Only ellipsoids have caustics ⋮ A characterization of the ellipsoid through planar grazes ⋮ On some characterizations of convex polyhedra ⋮ Characteristic properties of ellipsoids and convex quadrics ⋮ Some characterizations of the circle related to circumscribed equiangular polygons ⋮ CHARACTERIZATION OF ELLIPSOIDS BY MEANS OF PARALLEL TRANSLATED SECTIONS ⋮ Characterization of ellipsoids and polarity in convex sets ⋮ Seules les quadriques admettent des caustiques ⋮ On recognizing shapes of polytopes from their shadows

Cites Work

• A note on the false centre problem
• Sections of Convex Bodies
• A convex body with a false centre is an ellipsoid
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