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arXiv · 2503.00212

Flat grazes of convex bodies and local characterization of quadrics

Jesús Jerónimo-Castro·Luis Montejano·Efrén Morales-Amaya
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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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Jesús Jerónimo-Castro, Luis Montejano, Efrén Morales-Amaya. 2025-12-14. Flat grazes of convex bodies and local characterization of quadrics. https://arxiv.org/abs/2503.00212

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