Comparing the M-position with some classical positions of convex bodies

DOI10.1017/S0305004111000703zbMath1246.52007MaRDI QIDQ3108527

Grigoris Paouris, Eleftherios Markessinis, Christos Saroglou

Publication date: 4 January 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

convex body\(M\)-positionminimal surface area positionminimal mean width position

Mathematics Subject Classification ID

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

Related Items (3)

On the average volume of sections of convex bodies ⋮ Optimal Sobolev norms in the affine class ⋮ Some remarks about the maximal perimeter of convex sets with respect to probability measures

Cites Work

• Unnamed Item
• On convex perturbations with a bounded isotropic constant
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Extremal problems and isotropic positions of convex bodies
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Volume Ratios and a Reverse Isoperimetric Inequality
• Shadows of Convex Bodies
• Isotropic surface area measures

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