On the volume product of polygons

DOI10.1007/s12188-011-0054-3zbMath1232.52009OpenAlexW2078165971MaRDI QIDQ644452

Mathieu Meyer, Shlomo Reisner

Publication date: 4 November 2011

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-011-0054-3

zbMATH Keywords

convex bodiespolygonsBlaschke-Santaló inequalityaffinely-regularMahler inequalityvolume-product

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Stochastic reverse isoperimetric inequalities in the plane, Symmetric Mahler's conjecture for the volume product in the \(3\)-dimensional case, Optimization of the anisotropic Cheeger constant with respect to the anisotropy, Geometry and volume product of finite dimensional Lipschitz-free spaces, Polytopes of maximal volume product

Cites Work

• Unnamed Item
• Convex bodies with minimal volume product in \(\mathbb{R}^ 2\)
• Properties of affinely regular polygons
• Affinely regular polygons
• On the Blaschke-Santaló inequality
• LOCAL MINIMALITY OF THE VOLUME‐PRODUCT AT THE SIMPLEX
• A theorem on transfer for convex bodies