Convex intersection bodies in three and four dimensions
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Publication:4494735
DOI10.1112/S002557930000752XzbMath0964.52008MaRDI QIDQ4494735
Publication date: 8 August 2000
Published in: Mathematika (Search for Journal in Brave)
Polytopes and polyhedra (52B99) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (12)
On intersection and mixed intersection bodies ⋮ Intersection bodies of polytopes ⋮ \(L_p\)-mixed intersection bodies and star duality ⋮ \(q\)-dual mixed volumes and \(L_{p}\)-intersection bodies ⋮ Intersection bodies and generalized cosine transforms ⋮ Geometric tomography and local stereology. ⋮ Sections of convex bodies with symmetries ⋮ The normalized L_p intersection bodies ⋮ On mixed complex intersection bodies ⋮ Generalized intersection bodies are not equivalent ⋮ The logarithmic intersection body ⋮ \(L_{p}\)-mixed intersection bodies
Cites Work
- Theory of function spaces II
- Intersection bodies and dual mixed volumes
- \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
- On the Busemann-Petty problem for perturbations of the ball
- Intersection bodies in \(\mathbb{R}^4\)
- 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
- Star valuations and dual mixed volumes
- Functional analytic characterizations of classes of convex bodies
- Functions on a sphere with vanishing integrals over certain subspheres
- Stability Results for First Order Projection Bodies
- Cube Slicing in R n
- Intersection bodies, positive definite distributions, and the Busemann-Petty problem
- Intersection Bodies and the Busemann-Petty Problem
- Centered Bodies and Dual Mixed Volumes
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