Modified Shephard's problem on projections of convex bodies

2007/07/10 by Vladyslav Yaskin, V. Yaskin, Yaskin, V.
Mathematics · #42B10 #52A20 #52A38 #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.MG #msc:42B10 #msc:52A20 #msc:52A38

paper · pdf · doi:10.48550/arxiv.0707.1476

15 pages

arxiv created 2007/07/10 · openalex publication_date 2007/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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