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Central sections of centrally symmetric convex bodies

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Publication:1097518
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DOI10.2996/kmj/1138037465zbMath0635.52004OpenAlexW1976497627MaRDI QIDQ1097518

Shukichi Tanno

Publication date: 1987

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037465


zbMATH Keywords

volumecentrally symmetric convex bodies


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)


Related Items

On the Busemann-Petty problem\\ concerning central sections\\ of centrally symmetric convex bodies ⋮ Intersection Bodies and the Busemann-Petty Problem



Cites Work

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  • Finite point-sets on S 2 with minimum distance as large as possible
  • Volume in terms of concurrent cross-sections
  • Problems on convex bodies
  • The closest packing of equal circles on a sphere
  • The existence of a centrally symmetric convex body with central sections that are unexpectedly small
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