Stability in the Busemann-Petty and Shephard problems

DOI10.1016/j.aim.2011.06.031zbMath1228.52006arXiv1101.3600OpenAlexW2963561402MaRDI QIDQ643431

Alexander L. Koldobsky

Publication date: 28 October 2011

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

Full work available at URL: https://arxiv.org/abs/1101.3600

zbMATH Keywords

projectionssectionsBusemann-Petty problemconvex bodiesShephard problemvolumescomparison problem

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

On the \(L_p\) dual Minkowski problem, Stability and slicing inequalities for intersection bodies, A hyperplane inequality for measures of convex bodies in \(\mathbb R^{n }, \; n\leq 4\), Stability related to the Lp$L_p$ Busemann–Petty problem, Stability of volume comparison for complex convex bodies, Volume difference inequalities, Stability in the \(L_p\) Shephard problem, Sections of convex bodies with symmetries, Stability inequalities for projections of convex bodies, Some inequalities forL_pradial Blaschke-Minkowski homomorphisms, Slicing inequalities for subspaces of $L_p$, The Minkowski problem in Gaussian probability space, An extension of Minkowski's theorem and its applications to questions about projections for measures, Stability in the shephard problem for L p -projection of convex bodies

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