Stability of the Blaschke-Santaló and the affine isoperimetric inequality

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dc.creatorBöröczky, Károly J.
dc.date2009-01-21
dc.date.accessioned2026-07-07T12:32:37Z
dc.date.available2026-07-07T12:32:37Z
dc.descriptionA stability version of the Blaschke-Santaló inequality and the affine isoperimetric inequality for convex bodies of dimension n>2 is proved. The first step is the reduction to the case when the convex body is o-symmetric and has axial rotational symmetry. This step works for related inequalities compatible with Steiner symmetrization. Secondly, for these convex bodies, a stability version of the characterization of ellipsoids by the fact that each hyperplane section is centrally symmetric is established.
dc.identifierhttps://arxiv.org/abs/0901.3340
dc.identifierhttp://arxiv.org/abs/0901.3340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216841
dc.subjectMetric Geometry
dc.subject52A40
dc.titleStability of the Blaschke-Santaló and the affine isoperimetric inequality
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