A convex body whose centroid and Santaló point are far apart

2010/01/05 by Mathieu Meyer, Meyer, Mathieu, Carsten Schütt +3
Mathematics · #52A20 #53A15 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1001.0714

openalex publication_date 2010/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an example of a convex body whose centroid and Santaló point are "far apart".

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