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Flat grazes of convex bodies and local characterization of quadrics

2025/02/28 by Jesús Jerónimo-Castro, Jerónimo-Castro, Jesús, Luis Montejano +3
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2503.00212

openalex publication_date 2025/02/28 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28

Abstract

We prove several localized characterizations of quadrics and, between them, the localized Blaschke's Theorem and use this result to give some characterizations of the ellipsoid related to the flatness of its grazes.

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