Two Volume Product Inequalities and Their Applications

DOI10.4153/CMB-2009-049-0zbMath1178.52005MaRDI QIDQ3182696

Alina Stancu

Publication date: 15 October 2009

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

volumeGauss curvaturecentroidSantaló pointaffine invariantspolar bodiesconvex floating bodiesillumination bodies

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

A SIMPLICIAL POLYTOPE THAT MAXIMIZES THE ISOTROPIC CONSTANT MUST BE A SIMPLEX ⋮ Centro–affine curvature flows on centrally symmetric convex curves ⋮ Convex floating bodies of equilibrium ⋮ Stochastic reverse isoperimetric inequalities in the plane ⋮ Geometry and volume product of finite dimensional Lipschitz-free spaces ⋮ On the stability of the \(p\)-affine isoperimetric inequality ⋮ Minimal volume product near Hanner polytopes ⋮ Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ On the convex hull and homothetic convex hull functions of a convex body

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