Modified Shephard's problem on projections of convex bodies

Details Modified Shephard's problem on projections of convex bodies Modified Shephard's problem on projections of convex bodies

2007-07-10

arxiv.org/abs/0707.1476v1

Mathematics

Metric Geometry

15 pages

Scientific paper

We disprove a conjecture of A. Koldobsky asking whether it is enough to
compare $(n-2)$-derivatives of the projection functions of two symmetric convex
bodies in the Shephard problem in order to get a positive answer in all
dimensions.

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