Brunn-Minkowski inequality for mixed intersection bodies

DOI10.1016/j.jmaa.2004.07.013zbMath1065.52006OpenAlexW2092225209MaRDI QIDQ705299

Chang-Jian Zhao, Gang Song Leng

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.013

zbMATH Keywords

intersection bodiesdual mixed volumesmixed intersection bodies

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39)

Related Items (22)

On polars of mixed projection bodies ⋮ On intersection and mixed intersection bodies ⋮ Busemann-Petty problem for the i-th radial Blaschke-Minkowski homomorphisms ⋮ On Blaschke-Minkowski homomorphisms ⋮ On radial Blaschke-Minkowski homomorphisms ⋮ \(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms ⋮ The normalized L_p intersection bodies ⋮ On reverse Minkowski-type inequalities ⋮ \(L_p\)-dual quermassintegral sums ⋮ On radial and polar Blaschke-Minkowski homomorphisms ⋮ Brunn-Minkowski inequalities for star duals of intersection bodies and two additions ⋮ On mixed complex intersection bodies ⋮ Orlicz-Brunn-Minkowski inequalities for Blaschke-Minkowski homomorphisms ⋮ Inequalities for radial Blaschke–Minkowski homomorphisms ⋮ Volume Inequalities and Additive Maps of Convex Bodies ⋮ On \(p\)-quermassintegral differences function ⋮ Organic combinations of quermassintegrals and dual quermassintegrals ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ The logarithmic intersection body ⋮ \(L_p\) intersection bodies ⋮ Dual Orlicz mixed geominimal surface area ⋮ The dual Orlicz Brunn-Minkowski inequality for the intersection body

Cites Work

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• Intersection bodies and dual mixed volumes
• A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
• An analytic solution to the Busemann-Petty problem on sections of convex bodies
• Spherical projections and centrally symmetric sets
• A positive answer to the Busemann-Petty problem in three dimensions
• Dual mixed volumes
• Functional analytic characterizations of classes of convex bodies
• Inequalities for Mixed Projection Bodies
• Mixed Projection Inequalities
• Volume of Mixed Bodies
• Centered Bodies and Dual Mixed Volumes

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