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On counterexamples in questions of unique determination of convex bodies

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Publication:2839371
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DOI10.1090/S0002-9939-2013-11539-XzbMath1277.52004arXiv1201.0544OpenAlexW1977263311WikidataQ124980630 ScholiaQ124980630MaRDI QIDQ2839371

Dmitri Ryabogin, Vladyslav Yaskin

Publication date: 5 July 2013

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

Full work available at URL: https://arxiv.org/abs/1201.0544


zbMATH Keywords

projectionsectionsconvex bodyslabintrinsic volumeorigin-symmetric convex bodies


Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (3)

On bodies with congruent sections or projections ⋮ Thick sections of convex bodies ⋮ An asymmetric convex body with maximal sections of constant volume



Cites Work

  • Unnamed Item
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  • Volumes of low-dimensional slabs and sections in the cube
  • On perimeters of sections of convex polytopes
  • Tomography of convex and star bodies
  • Extremal slabs in the cube and the Laplace transform.
  • On the Determination of Convex Bodies by Projection Functions


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