On the \(L_p\) intersection body

DOI10.1007/s10483-007-1214-xzbMath1231.52008OpenAlexW957954670MaRDI QIDQ940506

Xian-Yang Zhu, Gang Song Leng

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-1214-x

zbMATH Keywords

star bodyproperty\(L_p\) intersection bodybrunn-Minkowski inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Radial Blaschke--Minkowski homomorphisms and volume differences ⋮ Dual Orlicz mixed geominimal surface area ⋮ The dual Orlicz Brunn-Minkowski inequality for the intersection body ⋮ Volume sums of polar Blaschke-Minkowski homomorphisms

Cites Work

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• Intersection bodies and dual mixed volumes
• Blaschke-Santaló inequalities
• The \(L^p\)-Busemann-Petty centroid inequality
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Quasi \(L_p\)-intersection bodies
• \(L_p\)-dual mixed quermassintegrals
• A characterization of Lp intersection bodies
• Convolutions, Transforms, and Convex Bodies
• p-Cross-section bodies
• Centroid bodies and comparison of volumes

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