Non-intersection bodies, all of whose central sections are intersection bodies
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Publication:3420059
DOI10.1090/S0002-9939-06-08530-3zbMath1114.52005arXivmath/0505277MaRDI QIDQ3420059
Publication date: 1 February 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505277
Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (4)
Intersection bodies and generalized cosine transforms ⋮ On strict inclusions in hierarchies of convex bodies ⋮ Generalized intersection bodies are not equivalent ⋮ A classification of some unit Lorentz balls as non-intersection bodies
Cites Work
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- Representation of \(L_ p\)-norms and isometric embedding in \(L_ p\)- spaces
- Intersection bodies and dual mixed volumes
- Zonoide und verwandte Klassen konvexer Körper
- Second derivative test for intersection bodies
- An application of the Fourier transform to sections of star bodies
- 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
- Finite sets of piecewise linear inequalities do not characterize zonoids
- Intersection bodies and the Busemann-Petty inequalities in \(\mathbb{R}^ 4\)
- Spherical harmonics
- Problems on convex bodies
- Intersection bodies, positive definite distributions, and the Busemann-Petty problem
- Positive Definite Distributions and Subspaces of L_p With Applications to Stable Processes
- Intersection Bodies and the Busemann-Petty Problem
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