Stability and Separation in Volume Comparison Problems

DOI10.1051/mmnp/20138111zbMath1267.52006arXiv1207.6347OpenAlexW2094771743MaRDI QIDQ4911323

Alexander L. Koldobsky

Publication date: 14 March 2013

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6347

zbMATH Keywords

projectionssectionsconvex bodiesintersection bodyprojection bodyhyperplane projection functionhyperplane section function

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

Separation inequalities for \(L_p\)-centroid bodies ⋮ On a version of the slicing problem for the surface area of convex bodies ⋮ On the average volume of sections of convex bodies ⋮ Stability related to the Lp$L_p$ Busemann–Petty problem ⋮ Volume difference inequalities ⋮ Starshaped sets ⋮ Sections of convex bodies with symmetries ⋮ Stability inequalities for projections of convex bodies ⋮ Slicing inequalities for subspaces of $L_p$

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