On a relative isodiametric inequality for centrally symmetric, compact, convex surfaces

DOI10.1007/s13366-012-0123-5zbMath1263.52002OpenAlexW2032875028MaRDI QIDQ1943360

S. Segura Gomis, A. Cerdán, Uwe Schnell

Publication date: 19 March 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0123-5

zbMATH Keywords

antipodalityconvex surfacesgeometric inequalitiescentral symmetryintrinsic diametercube surfaceisodiametric inequalities

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Geodesics in global differential geometry (53C22) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (1)

On the isodiametric and isominwidth inequalities for planar bisections

Cites Work

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• On two conjectures of Steinhaus
• Antipodality properties of finite sets in Euclidean space
• Relative isodiametric inequalities
• Comparing the relative volume with the relative inradius and the relative width
• The isoperimetric inequality
• On relative geometric inequalities
• The isoperimetric problem on some singular surfaces
• Relative geometric inequalities for compact, convex surfaces
• Convex and Discrete Geometry

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