Stability results for sections of convex bodies

DOI10.1090/tran/6854zbMath1375.52004arXiv1506.04407OpenAlexW2963488754MaRDI QIDQ5267970

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Publication date: 14 June 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04407

zbMATH Keywords

stabilityconvex bodyintersection bodycross-section bodymaximal sectionKoldobsky and Shane's theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Stability result for the extremal Gr\"unbaum distance between convex bodies ⋮ Maximal perimeters of polytope sections and origin-symmetry

Cites Work

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• Detecting symmetry in star bodies
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• \(L_p\) metrics for compact convex sets
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• An asymmetric convex body with maximal sections of constant volume
• Fourier transforms and the Funk-Hecke theorem in convex geometry
• Maximal hyperplane sections of convex bodies
• Convex bodies with non‐convex cross‐section bodies
• Maximal sections and centrally symmetric bodies

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