Minimal surface area position of a convex body is not always an \(M\)-position

DOI10.1007/s11856-012-0111-3zbMath1281.52004OpenAlexW2082817549MaRDI QIDQ375683

Christos Saroglou

Publication date: 31 October 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0111-3

zbMATH Keywords

isotropic constant\(M\)-position1-unconditional bodiesminimal surface area position

Mathematics Subject Classification ID

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

Related Items (1)

Estimating volume and surface area of a convex body via its projections or sections

Cites Work

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• The difference body of a convex body
• Extremal problems and isotropic positions of convex bodies
• An isomorphic version of the slicing problem
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Surface Area of a Convex Body Under Affine Transformations

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