Sections of the regular simplex – Volume formulas and estimates

DOI10.1002/mana.201600109zbMath1410.52001arXiv1509.06408OpenAlexW2962975000MaRDI QIDQ4598742

Hauke Dirksen

Publication date: 15 December 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06408

zbMATH Keywords

volumeregular simplexBrascamp-Lieb inequalitycentral hyperplane sectionsextremal section

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 (5)

Volume inequalities for sections and projections of Wulff shapes and their polars ⋮ Properties of the multidimensional finite elements ⋮ A note on the extremal non-central sections of the cross-polytope ⋮ Central sections of a convex body with ellipsoid of maximal volume \(B_2^n\) ⋮ Non-central sections of the simplex, the cross-polytope and the cube

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