Jes'us Jer'onimo-Castro

activity

20232025

collaborators

5 papers

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.MG2024

Ball characterizations in planes and spaces of constant curvature, I

Jesús Jerónimo-Castro, Endre Makai

Let us have in S^2, R^2 or H^2 a pair of convex bodies, for S^2 different from S^2, such that the intersections of any congruent copies of them are centrally symmetric. Then our bo…

math.MG2024

On characteristic properties of the ellipsoid in terms of circumscribed cones of a convex body

Efrén Morales-Amaya, Geronimmo Mondragón, Jesús Jerónimo-Castro

We strongly believe that in order to prove two important geometrical pro\-blems in convexity, namely, the G. Bianchi and P. Gruber's Conjecture \cite{bigru} and the J. A. Barker an…

math.MG2023

An equichordal characterization of the ellipsoid and the sphere

Victor A. Aguilar-Arteaga, Rafael Iván Ayala-Figueroa, Jesús Jerónimo-Castro +1

Let $K$ and $L$ be two convex bodies in $R^{n}$ , $n \geq 3$ , with $L \subset int K$ . In this paper we prove the following result: if every two parallel chords of $K$ ,…

math.MG2023

A Characterization of the sphere and a body of revolution by means of Larman points

María Angeles Alfonseca, Michelle Cordier, Jesús Jerónimo-Castro +1

Let $K \subset R^{n}$ , $n \geq 3$ , be a convex body. A point $p$ the interior of $K$ is said to be a Larman point of $K$ if for every hyperplane $Π$ passing through $p$ the se…