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Maximal hyperplane sections of convex bodies
Author(s) -
Meyer Mathieu
Publication year - 1999
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300007622
Subject(s) - convex body , hyperplane , mathematics , mixed volume , regular polygon , combinatorics , section (typography) , convex set , support function , mathematical analysis , geometry , pure mathematics , convex hull , convex optimization , advertising , business
It is shown that the cross‐section body of a convex body K ⊂ ℝ 3 , that is the symmetric body which has for radial function in the direction u the maximal volume of a section of K by an hyperplane orthogonal to u , is a convex body in ℝ 3 .
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