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An inequality between the parts into which a convex body is divided by a plane section

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Publication:788280
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DOI10.1007/BF02851108zbMath0531.52005OpenAlexW1990609905MaRDI QIDQ788280

L. A. Santaló

Publication date: 1983

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02851108


zbMATH Keywords

diameterproduct of volumes


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65) Length, area and volume in real or complex geometry (51M25) Euclidean geometries (general) and generalizations (51M05)


Related Items (4)

Inequalities for the product of the volumes of a partition determined in a convex body by a surface ⋮ Sharp \(L^1\)-Poincaré inequalities correspond to optimal hypersurface cuts ⋮ On an inequality related to the splitting of a convex body by a plane ⋮ The longest shortest fence and sharp Poincaré-Sobolev inequalities



Cites Work

  • Unnamed Item
  • Ungleichungen für den Inhalt von Trennflächen
  • Zerlegung konvexer Körper durch minimale Trennflächen.


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