The complex Busemann-Petty problem on sections of convex bodies

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dc.creatorKoldobsky, A.
dc.creatorKönig, H.
dc.creatorZymonopoulou, M.
dc.date2007-07-26
dc.date.accessioned2026-07-07T08:20:25Z
dc.date.available2026-07-07T08:20:25Z
dc.descriptionThe complex Busemann-Petty problem asks whether origin symmetric convex bodies in $\C^n$ with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if $n\le 3$ and negative if $n\ge 4.$
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0707.3851
dc.identifierhttp://arxiv.org/abs/0707.3851
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135064
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.subject52A20
dc.titleThe complex Busemann-Petty problem on sections of convex bodies
dc.typetext

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