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arXiv:1112.3976 [math.CA]AbstractReferencesReviewsResources

Non-uniqueness of convex bodies with prescribed volumes of sections and projections

Fedor Nazarov, Dmitry Ryabogin, Artem Zvavitch

Published 2011-12-16Version 1

We show that if $d\ge 4$ is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coincide for all directions.

Categories: math.CA, math.FA, math.MG
Subjects: 52A20, 52A40, 52A38
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