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Intersection bodies that are not polar zonoids: A flat top condition in dimensions four and six

By M. A. Alfonseca

Abstract

We find general geometric conditions on a convex body of revolution K, in dimensions four and six, so that its intersection body IK is not a polar zonoid. We exhibit several examples of intersection bodies which are are not polar zonoids.Comment: To appear in the Journal of Mathematical Analysis and Applications, 18 pages, 11 figure

Topics: Mathematics - Metric Geometry, 52A21, 52A20
Publisher: 'Elsevier BV'
Year: 2013
DOI identifier: 10.1016/j.jmaa.2013.03.032
OAI identifier: oai:arXiv.org:1303.3813

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