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math.MG2025
Flat grazes of convex bodies and local characterization of quadrics
Jesús Jerónimo-Castro, Luis Montejano, Efrén Morales-Amaya
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 rel…
math.MG2023
Complex homothetic sections and projections through a Helly type Theorem for cosets of
Jorge Luis Arocha, Javier Bracho, Luis Montejano
We prove that two closed subsets of complex space $\C^n$ with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theore…