The Lower Dimensional Busemann-Petty Problem for Bodies with the Generalized Axial Symmetry

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dc.creatorRubin, Boris
dc.date2007-01-11
dc.date2007-05-03
dc.date.accessioned2026-07-07T07:59:12Z
dc.date.available2026-07-07T07:59:12Z
dc.descriptionThe lower dimensional Busemann-Petty problem asks, whether n-dimensional centrally symmetric convex bodies with smaller i-dimensional central sections necessarily have smaller volumes. The paper contains a complete solution to the problem when the body with smaller sections is invariant under rotations, preserving mutually orthogonal coordinate subspaces of fixed dimension. The argument relies on the notion of canonical angles between subspaces, spherical Radon transforms, properties of intersection bodies, and the generalized cosine transforms.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0701317
dc.identifierhttp://arxiv.org/abs/math/0701317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128284
dc.subjectFunctional Analysis
dc.subject44A12; 52A38
dc.titleThe Lower Dimensional Busemann-Petty Problem for Bodies with the Generalized Axial Symmetry
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