scientific article

zbMath0524.52002MaRDI QIDQ3036193

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zonotope convex body zonoid centrally symmetric

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)

Related Items

On polars of mixed projection bodies, Approximation of zonoids by zonotopes in fixed directions, Functional analytic characterizations of classes of convex bodies, Volumes of complementary projections of convex polytopes, Cross $i$-sections of star bodies and dual mixed volumes, Application of cut polyhedra. I, Faces of convex sets and Minkowski additive selections, Point processes of cylinders, particles and flats, Approximating finite weighted point sets by hyperplanes, Affine inequalities for $L_{p}$-mixed mean zonoids, Counting the faces of randomly-projected hypercubes and orthants, with applications, The Petty projection inequality for $L_p$-mixed projection bodies, Positive definite symmetric functions on finite-dimensional spaces. II, Zonoids with an equatorial characterization., Projection problems for symmetric polytopes, The dual Loomis–Whitney inequality, A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities, Combinatorial geometry of belt bodies, Integral geometry in Minkowski spaces, Spherical projections and centrally symmetric sets, Recovering a centred convex body from the areas of its shadows: A stability estimate, Intersection bodies and dual mixed volumes, On the Busemann-Petty problem\\ concerning central sections\\ of centrally symmetric convex bodies, On zonoids whose polars are zonoids, Shadow-boundaries of convex bodies, Extremum problems for the cone volume functional of convex polytopes, Shadow systems of asymmetric $L_p$ zonotopes, Solution of an integral equation by consistency method, Volume inequalities for Orlicz zonotopes, Sharp affine isoperimetric inequalities for the Minkowski first mixed volume, Iterations of translative integral formulae and non-isotropic Poisson processes of particles, Bodies with similar projections, Processes of flats induced by higher dimensional processes, Reverse inequalities for zonoids and their application, On convex bodies that permit packings of high density, Complex $L_p$ affine isoperimetric inequalities, The Orlicz mean zonoid operator, Valuations and Busemann-Petty type problems, Inequalities for Mixed Projection Bodies, Inequalities relating to $L_p$ -version of petty's conjectured projection inequality, Sufficient enlargements of minimal volume for finite-dimensional normed linear spaces, A Grassmannian Loomis–Whitney inequality and its dual, Petty projection inequalities for the general L p -mixed projection bodies, $L_p$-dual quermassintegral sums, Sections and projections of $L_p$-zonoids and their polars, The $L_p$-curvature images of convex bodies and $L_p$-projection bodies, On the local equatorial characterization of zonoids and intersection bodies, Duality, volume product and Mahler's inequalities, Volume inequalities for asymmetric Orlicz zonotopes, Affine inequalities for L _p mean zonoids, Volume of Mixed Bodies, Cassini curves in light field theory, Stability of the reverse Blaschke-Santaló inequality for zonoids and applications, Halfspace depth and floating body, Heights on groups and small multiplicative dependencies, Intersection Bodies and the Busemann-Petty Problem, Geometric Inequalities for Random Surfaces, Hedgehogs and zonoids, The Geometry of Discotopes, Inequalities for polars of mixed projection bodies, Spectral theory of Laplace operators on oriented hypergraphs, Combinatorial integral geometry, metrics, and zonoids, Centered Bodies and Dual Mixed Volumes, On the reverse Loomis-Whitney inequality, Stability Results for First Order Projection Bodies, On $p$-quermassintegral differences function, Sharp inequalities related to the functional $U_j$ and some applications, A new approach to the Minkowski first mixed volume and the LYZ conjecture, Applications of various inequalities to Minkowski geometry, Some inequalities for asymmetric L_p-mean zonoids, An illumination problem for zonoids, Mixed Projection Inequalities, Rigorously computed orbits of dynamical systems without the wrapping effect, Inequalities for Hadwiger's harmonic quermassintegrals, Convex polytopes whose projection bodies and difference sets are polars, Plane sections of the unit ball of $L^ p$, A flag representation for a $n$-dimensional convex body, A representation for the generating density of convex bodies, On inner and outer radii in Minkowski spaces, $\mathrm{GL}(n)$ contravariant Minkowski valuations, The sine representation of centrally symmetric convex bodies, Minimal-volume shadows of cubes, Characterization of the three-dimensional multiple translative tiles, Extended affine surface area, Tight frames and related geometric problems, The $L^p$-Busemann-Petty centroid inequality, Projection bodies and valuations, On some ellipsoid formulas of Busemann, Furstenberg and Tzkoni, Guggenheimer, and Petty, Solution of the Szökefalvi-Nagy problem for a class of convex polytopes, The $L_p$ Loomis-Whitney inequality, A General Isepiphanic Inequality, Minimal-volume projections of cubes and totally unimodular matrices, Zonoids and sparsification of quantum measurements, On LYZ's conjecture for the $U$-functional