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Maximal hyperplane sections of convex bodies

Abstract : 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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00694240
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Submitted on : Thursday, May 3, 2012 - 11:02:21 PM
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  • HAL Id : hal-00694240, version 1

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

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