Cover Image

From inequalities relating symmetrizations of convex bodies to the diameter-width ratio for complete and pseudo-complete convex sets

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brandenberg, René, von Dichter, Katherina, Merino, Bernardo González
Format:	Preprint
Published:	2023
Subjects:	Metric Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bounding the diameter-width ratio using containment inequalities of means of convex bodies
by: von Dichter, Katherina, et al.
Published: (2025)

A complete system of inequalities for the diameter, in-, and circumradius in the 3-dimensional Euclidean space
by: Brandenberg, René, et al.
Published: (2025)

Minkowski chirality: a measure of reflectional asymmetry of convex bodies
by: Caragea, Andrei, et al.
Published: (2025)

The affine subspace concentration inequality for centered convex bodies
by: Eller, Katharina, et al.
Published: (2024)

Mixed volumes of zonoids and the absolute value of the Grassmannian
by: Averkov, Gennadiy, et al.
Published: (2024)

Mahler-type volume inequality for convex bodies with tetrahedral symmetry
by: Aliev, Arkadiy
Published: (2025)

A characterization of centrally symmetric convex bodies in terms of visual cones
by: Morales-Amaya, E., et al.
Published: (2021)

Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n$
by: Mushkarov, Oleg, et al.
Published: (2024)

Sections and projections of nested convex bodies
by: González-García, I., et al.
Published: (2021)

Anisotropic symmetrization, convex bodies, and isoperimetric inequalities
by: Bianchi, Gabriele, et al.
Published: (2024)

Cheeger sets for rotationally symmetric planar convex bodies
by: Cañete, Antonio
Published: (2024)

Ball-convex bodies and $L_p$ relative surface areas
by: Werner, Elisabeth M., et al.
Published: (2025)

Characterizations of generalized convex bodies of revolution
by: Alfonseca, María Angeles, et al.
Published: (2020)

A characterization of translated convex bodies
by: Morales-Amaya, Efren
Published: (2024)

Approximation of spherical convex bodies of constant width $π/2$
by: Han, Huhe
Published: (2024)

Notes on non-separable arrangements of convex bodies
by: Bezdek, Károly, et al.
Published: (2025)

Some results about equichordal convex bodies
by: Jerónimo-Castro, Jesús, et al.
Published: (2021)

Translation invariant curvature measures of convex bodies
by: Schuhmacher, Jakob, et al.
Published: (2026)

Floating bodies for ball-convex bodies
by: Schuett, Carsten, et al.
Published: (2025)

Flat grazes of convex bodies and local characterization of quadrics
by: Jerónimo-Castro, Jesús, et al.
Published: (2025)

Distances between non-symmetric convex bodies: optimal bounds up to polylog
by: Bizeul, Pierre, et al.
Published: (2025)

On characteristic properties of the ellipsoid in terms of circumscribed cones of a convex body
by: Morales-Amaya, Efrén, et al.
Published: (2024)

Spherical quadrilateral with three right angles and its application for diameter of extreme points of a convex body
by: Lassak, Marek
Published: (2024)

No weak epsilon nets for lines and convex sets in space
by: Cheong, Otfried, et al.
Published: (2022)

On generalized disc-polygons in plane convex bodies with a higher degree of smoothness
by: Fodor, Ferenc, et al.
Published: (2025)

Self perimeter of convex sets
by: Wolansky, Gershon
Published: (2026)

Anisotropic area measures of convex bodies
by: Schneider, Rolf
Published: (2025)

Planar radial mean bodies are convex
by: Haddad, J.
Published: (2024)

The growth rate of surface area measure for noncompact convex sets with prescribed asymptotic cone
by: Semenov, Vadim, et al.
Published: (2024)

Dimension-free Gaussian tail estimates for linear functionals on convex bodies
by: Letwin, Brayden, et al.
Published: (2026)

Horoboundaries of coarsely convex spaces
by: Sato, Ikkei
Published: (2025)

Measuring the convexity of compact sumsets with the Schneider non-convexity index
by: Meyer, Mark
Published: (2024)

A reverse isoperimetric inequality for convex shapes with inclusion constraint
by: Bogosel, Beniamin
Published: (2024)

A (Hilbert) geometric algorithm for approximating the halfspace depth of a point in a convex body
by: Gupta, Purvi, et al.
Published: (2024)

The Gaussian measure of a convex body controls its maximal covering radius
by: Szusterman, Maud
Published: (2024)

On isoperimetric local-Bollobás-Thomason inequalities
by: Alías, Luis J., et al.
Published: (2026)

Covering large-dimensional Euclidean spaces by random translates of a given convex body
by: Bukh, Boris, et al.
Published: (2025)

On local Liakopoulos-Meyer type inequalities and their functional counterparts
by: Alías, Luis J., et al.
Published: (2025)

A strengthening of the Blaschke-Santaló inequality for $o$-symmetric planar convex bodies
by: Böröczky, Károly J., et al.
Published: (2026)

A Comprehensive Definition of the Geometric Mean of Convex Bodies Based on Relations Between Their $p$-Means
by: Brandenberg, René, et al.
Published: (2023)