Flat grazes of convex bodies and local characterization of quadrics

Fuente: arXiv
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Hauptverfasser: Jerónimo-Castro, Jesús, Montejano, Luis, Morales-Amaya, Efrén
Format: Preprint
Veröffentlicht: 2025
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author Jerónimo-Castro, Jesús
Montejano, Luis
Morales-Amaya, Efrén
author_facet Jerónimo-Castro, Jesús
Montejano, Luis
Morales-Amaya, Efrén
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_00212
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Flat grazes of convex bodies and local characterization of quadrics
Jerónimo-Castro, Jesús
Montejano, Luis
Morales-Amaya, Efrén
Metric Geometry
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.
title Flat grazes of convex bodies and local characterization of quadrics
topic Metric Geometry
url https://arxiv.org/abs/2503.00212