The Busemann-Petty problem in hyperbolic and spherical spaces

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dc.creatorYaskin, V.
dc.date2004-10-22
dc.date.accessioned2026-07-07T05:13:38Z
dc.date.available2026-07-07T05:13:38Z
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 to this problem is affirmative if $n\le 4$ and negative if $n\ge 5$. We study this problem in hyperbolic and spherical spaces.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0410501
dc.identifierhttp://arxiv.org/abs/math/0410501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72977
dc.subjectFunctional Analysis
dc.subject52Axx
dc.titleThe Busemann-Petty problem in hyperbolic and spherical spaces
dc.typetext

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