J. Jer'onimo-Castro

activity

20162021

most citedSome results about equichordal convex bodies

3 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.MG2021★ 3 cited

Some results about equichordal convex bodies

Jesús Jerónimo-Castro, Francisco G. Jimenez-Lopez, Efrén Morales-Amaya

Let $K$ and $L$ be two convex bodies in $R^{n}$ , $n \geq 2$ , with $L \subset int K$ . We say that $L$ is an equichordal body for $K$ if every chord of $K$ tangent to $L…

math.MG2021★ 3 cited

A characterization of centrally symmetric convex bodies in terms of visual cones

E. Morales-Amaya, J. Jerónimo-Castro, D. J. Verdusco-Hernández

In this work we prove the following result: Let $K$ be a strictly convex body in the Euclidean space $R^{n}, n \geq 3$ , and let $L$ be a hypersurface, which is the image of a…

math.MG2021

Convex bodies with equipotential circles

Iván González-García, Jesús Jerónimo-Castro, Valentín Jiménez-Desantiago +1

Given a convex body $K \subset R^{2}$ we say that a circle $Ω \subset int K$ is an equipotential circle if every tangent line of $Ω$ cuts a chord $A B$ in $K$ such that…

math.MG2017

Ball characterizations in spaces of constant curvature

J. Jerónimo-Castro, E. Makai

High proved the following theorem. If the intersections of any two congruent copies of a plane convex body are centrally symmetric, then this body is a circle. In our paper we exte…

math.MG2016

Pairs of convex bodies in $S^{d}$ , $R^{d}$ and $H^{d}$ , with symmetric intersections of their congruent copies