Thick sections of convex bodies

DOI10.1016/j.aam.2015.09.010zbMath1326.52007OpenAlexW1779209123MaRDI QIDQ745077

Maryna Yaskina, Vladyslav Yaskin

Publication date: 13 October 2015

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2015.09.010

zbMATH Keywords

convex polytopeconvex bodyslaborigin-symmetric

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Maximal perimeters of polytope sections and origin-symmetry ⋮ Characterizations of the Euclidean Ball by Intersections with Planes and Slabs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unique determination of convex polytopes by non-central sections
• A problem of Klee on inner section functions of convex bodies
• Volumes of low-dimensional slabs and sections in the cube
• Asymptotics of cross sections for convex bodies
• Extremal slabs in the cube and the Laplace transform.
• On counterexamples in questions of unique determination of convex bodies
• Harmonic Analysis and Uniqueness Questions in Convex Geometry
• An asymmetric convex body with maximal sections of constant volume
• NON‐UNIQUENESS OF CONVEX BODIES WITH PRESCRIBED VOLUMES OF SECTIONS AND PROJECTIONS
• Convex and Discrete Geometry
• Minimal volume of slabs in the complex cube
• Determination of convex bodies by certain sets of sectional volumes

This page was built for publication: Thick sections of convex bodies