An asymmetric convex body with maximal sections of constant volume

DOI10.1090/S0894-0347-2013-00777-8zbMath1283.52005arXiv1201.0393OpenAlexW2048951881MaRDI QIDQ2862634

Artem Zvavitch, F. L. Nazarov, Dmitri Ryabogin

Publication date: 18 November 2013

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

Full work available at URL: https://arxiv.org/abs/1201.0393

zbMATH Keywords

projectionssectionsconvex bodiesmaximal section function

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

On convex intersection bodies and unique determination problems for convex bodies ⋮ A negative answer to Ulam's problem 19 from the Scottish Book ⋮ Non-central sections of convex bodies ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Thick sections of convex bodies ⋮ Functions with isotropic sections ⋮ Stability results for sections of convex bodies

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• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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