Slicing inequalities for measures of convex bodies

DOI10.1016/j.aim.2015.07.019zbMath1322.52008arXiv1412.8550OpenAlexW2963984616MaRDI QIDQ2517228

Alexander L. Koldobsky

Publication date: 17 August 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8550

zbMATH Keywords

sectionsmeasureconvex bodiesintersection body

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

A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls, Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn, Inequalities for the derivatives of the Radon transform on convex bodies, Measure comparison and distance inequalities for convex bodies, Separation inequalities for \(L_p\)-centroid bodies, Approximations of convex bodies by measure-generated sets, On a version of the slicing problem for the surface area of convex bodies, A discrete version of Koldobsky's slicing inequality, On the average volume of sections of convex bodies, Weighted Minkowski’s existence theorem and projection bodies, Comparison problems for Radon transforms, General measure extensions of projection bodies, The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding, Volume difference inequalities, An example related to the slicing inequality for general measures, Estimates for moments of general measures on convex bodies, Estimates for measures of lower dimensional sections of convex bodies, The isomorphic Busemann-Petty problem for \(s\)-concave measures, Estimating volume and surface area of a convex body via its projections or sections, Isomorphic Busemann-Petty problem for sections of proportional dimensions, A general slicing inequality for measures of convex bodies, Bounds on the lattice point enumerator via slices and projections

Cites Work

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