Non-intersection bodies all of whose central sections are intersection bodies

Details Non-intersection bodies all of whose central sections are intersection bodies Non-intersection bodies all of whose central sections are intersection bodies

2005-05-12

arxiv.org/abs/math/0505277v1

Mathematics

Functional Analysis

10 pages

Scientific paper

We construct symmetric convex bodies that are not intersection bodies, but
all of their central hyperplane sections are intersection bodies. This result
extends the studies by Weil in the case of zonoids and by Neyman in the case of
subspaces of $L_p$.

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