On the false pole problem

DOI10.1007/s00605-007-0448-6zbMath1126.52007OpenAlexW2059857210MaRDI QIDQ996080

E. Morales-Amaya, David G. Larman

Publication date: 11 September 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0448-6

zbMATH Keywords

ellipsoidpolepolarcenter of symmetryfalse centerfalse polehyperplane of symmetryprojective center of symmetryprojective hyperplane of symmetry

Mathematics Subject Classification ID

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

Related Items (1)

Unique local determination of convex bodies

Cites Work

• A quick proof of Höbinger-Burton-Larman's theorem
• An equichordal problem
• A characterization of centrally symmetric convex bodies in \(E^ 2\).
• Ellipsoids are the most symmetric convex bodies
• Variations of Classic Characterizations of Ellipsoids and a Short Proof of the False Centre Theorem
• A note on the false centre problem
• Characterization of ellipsoids and polarity in convex sets
• A convex body with a false centre is an ellipsoid

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