Reverse and dual Loomis-Whitney-type inequalities

DOI10.1090/tran/6668zbMath1335.52007arXiv1311.7076OpenAlexW1886713162MaRDI QIDQ2790650

Paolo Gronchi, Stefano Campi, Richard J. Gardner

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7076

zbMATH Keywords

convex bodyzonoidintrinsic volumegeometric tomographyLoomis-Whitney inequalityCauchy-Binet theoremMeyer's inequalityBetke-McMullen conjecture

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

A proof of a Loomis-Whitney type inequality via optimal transport, The dual Loomis–Whitney inequality, Reverse Brascamp-Lieb inequality and the dual Bollobás-Thomason inequality, The complex L_p Loomis-Whitney inequality, \(L_\infty \) Loomis-Whitney inequalities, A Grassmannian Loomis–Whitney inequality and its dual, Minimising the sum of projections of a finite set, On the reverse Loomis-Whitney inequality, Estimating volume and surface area of a convex body via its projections or sections, On the reverse dual Loomis-Whitney inequality, Inequalities about normalized L_p projection body, The \(L_p\) Loomis-Whitney inequality

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