The isomorphic Busemann-Petty problem for \(s\)-concave measures

DOI10.1007/s10711-019-00446-0zbMath1432.52006OpenAlexW2934297643WikidataQ128079313 ScholiaQ128079313MaRDI QIDQ2290846

Denghui Wu

Publication date: 29 January 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-019-00446-0

zbMATH Keywords

measuresBusemann-Petty problemintersection bodiesconvex bodies

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 (6)

The measure-comparison problem for polar \((p, \mu)\)-centroid bodies ⋮ \(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes ⋮ Stability related to the Lp$L_p$ Busemann–Petty problem ⋮ The Busemann-Petty problem for \(L_p\)-mixed radial Blaschke-Minkowski homomorphisms ⋮ A variant of the \(L_p\)-Shephard problem via \((p,q)\)-projection bodies ⋮ The Busemann-Petty problem on entropy of log-concave functions

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