A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space
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Publication:2508675
DOI10.1007/BF02922139zbMath1104.52004arXivmath/0503289OpenAlexW1982130253MaRDI QIDQ2508675
Publication date: 20 October 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503289
Spherical and hyperbolic convexity (52A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (11)
Generalized intersection bodies ⋮ The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry ⋮ Orlicz mixed radial Blaschke-Minkowski homomorphisms ⋮ The lower dimensional Busemann-Petty problem in the complex hyperbolic space ⋮ Stability and slicing inequalities for intersection bodies ⋮ Stability related to the Lp$L_p$ Busemann–Petty problem ⋮ Generalized intersection bodies are not equivalent ⋮ The complex Busemann-Petty problem on sections of convex bodies ⋮ The Lower Dimensional Busemann‐Petty Problem with Weights ⋮ The isomorphic Busemann-Petty problem for \(s\)-concave measures ⋮ The Busemann-Petty problem on entropy of log-concave functions
Cites Work
- Intersection bodies in \(\mathbb{R}^4\)
- 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
- A generalization of the Busemann-Petty problem on sections of convex bodies
- On spherically convex univalent functions
- The Busemann-Petty problem for arbitrary measures
- The Busemann--Petty problem in hyperbolic and spherical spaces
- Sections of Convex Bodies
- A functional analytic approach to intersection bodies
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