Modified Busemann-Petty problem on sections of convex bodies

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dc.creatorKoldobsky, A.
dc.creatorYaskin, V.
dc.creatorYaskina, M.
dc.date2004-10-22
dc.date.accessioned2026-07-07T05:13:37Z
dc.date.available2026-07-07T05:13:37Z
dc.descriptionThe Busemann-Petty problem asks whether origin-symmetric convex bodies in $\mathbb{R}^n$ with smaller central hyperplane sections necessarily have smaller $n$-dimensional volume. It is known that the answer is affirmative if $n\le 4$ and negative if $n\ge 5$. In this article we modify the assumptions of the original Busemann-Petty problem to guarantee the affirmative answer in all dimensions.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0410496
dc.identifierhttp://arxiv.org/abs/math/0410496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72975
dc.subjectFunctional Analysis
dc.subject52Axx
dc.titleModified Busemann-Petty problem on sections of convex bodies
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