The role of the Rogers-Shephard inequality in the characterization of the difference body

DOI10.1515/forum-2016-0101zbMath1380.52004arXiv1602.00967OpenAlexW2963147477MaRDI QIDQ1683658

Judit Abardia-Evéquoz, Eugenia Saorín Gómez

Publication date: 1 December 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00967

zbMATH Keywords

difference bodyRogers-Shephard inequalityMinkowski valuation\(\mathrm{GL}(n)\)-covariance\(o\)-symmetrization

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) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Minkowski valuations under volume constraints ⋮ On some problems concerning symmetrization operators ⋮ On Rogers–Shephard-type inequalities for the lattice point enumerator ⋮ Minkowski additive operators under volume constraints

Cites Work

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