Maximal hyperplane sections of convex bodies

Mathieu Meyer (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

It is shown that the cross-section body of a convex body K subset of 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.

Domaines: Physique mathématique [math-ph]

Mathieu Meyer. Maximal hyperplane sections of convex bodies. Mathematika, 1999, 46 (91), pp.131--136. ⟨hal-00694240⟩