Intersection bodies and polytopes

DOI10.1112/S0025579300007531zbMath0964.52007MaRDI QIDQ4494734

Gaoyong Zhang

Publication date: 8 August 2000

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

convex polytoperadial functionintersection bodystar body

Mathematics Subject Classification ID

Polytopes and polyhedra (52B99) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

On intersection and mixed intersection bodies ⋮ Intersection bodies of polytopes ⋮ Busemann-Petty problem for the i-th radial Blaschke-Minkowski homomorphisms ⋮ \(L_p\)-mixed intersection bodies and star duality ⋮ \(q\)-dual mixed volumes and \(L_{p}\)-intersection bodies ⋮ Intersection bodies and generalized cosine transforms ⋮ Starshaped sets ⋮ Generalized intersection bodies are not equivalent ⋮ An extension of a result by Lonke to intersection bodies ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ \(L_{p}\)-mixed intersection bodies ⋮ The Busemann-Petty problem on entropy of log-concave functions

Cites Work

• Unnamed Item
• Intersection bodies and dual mixed volumes
• \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
• A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
• Spherical projections and centrally symmetric sets
• Intersection bodies and the Busemann-Petty inequalities in \(\mathbb{R}^ 4\)
• A positive answer to the Busemann-Petty problem in three dimensions
• Intersection bodies, positive definite distributions, and the Busemann-Petty problem

This page was built for publication: Intersection bodies and polytopes