Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii

2004/12/23 by Rafik Aramyan, Aramyan Rafik, Aramyan, Rafik
Computer Science · Mathematics · #52-99 #52A20 #Advanced Banach Space Theory #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Optimization and Variational Analysis #Point processes and geometric inequalities #math.DG #math.MG #msc:52-99 #msc:52A20

paper · pdf · doi:10.48550/arxiv.math/0412472

5 pages; no figures

arxiv created 2004/12/23 · openalex publication_date 2004/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article considers the problem of existence and uniqueness of centrally symmetrical convex body for which the projection curvature radius function coincides with a given flag function. A necessary and sufficient condition is found that ensures a positive answer. An algorithm for construction the body in question is proposed

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