Zonoids with minimal volume-product
From MaRDI portal
Publication:1066471
DOI10.1007/BF01164009zbMath0578.52005MaRDI QIDQ1066471
Publication date: 1986
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173738
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (52)
On polars of mixed projection bodies ⋮ The ratio of the length of the unit circle to the area of the unit disc in Minkowski planes ⋮ Geometric inequalities for anti-blocking bodies ⋮ Equipartitions and Mahler volumes of symmetric convex bodies ⋮ On volume product inequalities for convex sets ⋮ Une caractérisation volumique de certains espaces normés de dimension finie. (A volume characterization of some finite dimensional normed spaces) ⋮ On the reverse Orlicz Blaschke-Santaló inequality ⋮ Projection problems for symmetric polytopes ⋮ A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities ⋮ Extremum of Mahler volume for generalized cylinder in \(\mathbb R^3\) ⋮ Geometric inequalities and inclusion measures of convex bodies ⋮ Stochastic reverse isoperimetric inequalities in the plane ⋮ A remark on the Mahler conjecture: local minimality of the unit cube ⋮ Symmetric Mahler's conjecture for the volume product in the \(3\)-dimensional case ⋮ A Fourier analytic proof of the Blaschke-Santaló Inequality ⋮ Shadow systems of asymmetric \(L_p\) zonotopes ⋮ Magnitude and Holmes–Thompson intrinsic volumes of convex bodies ⋮ Optimization of the anisotropic Cheeger constant with respect to the anisotropy ⋮ Volume inequalities for Orlicz zonotopes ⋮ Transport proofs of some functional inverse Santaló inequalities ⋮ Shadow systems: remarks and extensions ⋮ Stability of the Blaschke-Santaló and the affine isoperimetric inequality ⋮ Geometry and volume product of finite dimensional Lipschitz-free spaces ⋮ Minimal volume product near Hanner polytopes ⋮ The isotropic position and the reverse Santaló inequality ⋮ Some functional inverse Santaló inequalities ⋮ Inequalities for Mixed Projection Bodies ⋮ \(L_p\)-dual affine surface area ⋮ Volume inequalities for asymmetric Orlicz zonotopes ⋮ Shadows of Convex Bodies ⋮ Stability of the reverse Blaschke-Santaló inequality for zonoids and applications ⋮ On isoperimetric inequalities in Minkowski spaces ⋮ Heights on groups and small multiplicative dependencies ⋮ Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies ⋮ Convex bodies with minimal volume product in \(\mathbb{R}^2\) -- a new proof ⋮ Inequalities for polars of mixed projection bodies ⋮ An application of shadow systems to Mahler's conjecture ⋮ Geometric inequalities for Poisson processes of convex bodies and cylinders ⋮ Flag numbers and floating bodies ⋮ LOCAL MINIMALITY OF THE VOLUME‐PRODUCT AT THE SIMPLEX ⋮ From symplectic measurements to the Mahler conjecture ⋮ VOLUMES OF PROJECTION BODIES OF SOME CLASSES OF CONVEX BODIES ⋮ Dual Orlicz mixed geominimal surface area ⋮ A special case of Mahler's conjecture ⋮ Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian ⋮ A reverse Blaschke-Santaló inequality ⋮ Polytopes of maximal volume product ⋮ Isotropic surface area measures ⋮ Volume Inequalities forLp‐Zonotopes ⋮ Shadow Systems and Volumes of Polar Convex Bodies ⋮ On the shape of a convex body with respect to its second projection body ⋮ The \(i\)th \(p\)-geominimal surface area
Cites Work
This page was built for publication: Zonoids with minimal volume-product
