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Maximal hyperplane sections of convex bodies

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Mathieu Meyer
Mathieu Meyer
Affiliation:
Equipe d'Analyse et de Mathematiques Appliquees, Université de Marne-la-Valleé, Cité Descartes, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Valée, Cedex 2, France.
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Abstract

It is shown that the cross-section body of a convex body K ⊂ ℝ3, 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 ℝ3.

MSC classification

Secondary: 52A40: Inequalities and extremum problems

Information

Type
Research Article
Information
Mathematika , Volume 46 , Issue 1 , June 1999 , pp. 131 - 136
Copyright
Copyright © University College London 1999

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