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

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

2011-12-16

arxiv.org/abs/1112.3976v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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