A comment on the low-dimensional Busemann-Petty problem

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dc.creatorMilman, Emanuel
dc.date2005-12-10
dc.date.accessioned2026-07-07T06:55:01Z
dc.date.available2026-07-07T06:55:01Z
dc.descriptionThe generalized Busemann-Petty problem asks whether centrally-symmetric convex bodies having larger volume of all m-dimensional sections necessarily have larger volume. When m>3 this is known to be false, but the cases m=2,3 are still open. In those cases, it is shown that when the smaller body's radial function is a (n-m)-th root of the radial function of a convex body, the answer to the generalized Busemann-Petty problem is positive (for any larger star-body). Several immediate corollaries of this observation are also discussed.
dc.description9 pages, to appear in GAFA Seminar Notes
dc.identifierhttps://arxiv.org/abs/math/0512208
dc.identifierhttp://arxiv.org/abs/math/0512208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106151
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.titleA comment on the low-dimensional Busemann-Petty problem
dc.typetext

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