E. Morales-Amaya

activity

20202026

most citedSome results about equichordal convex bodies

3 citations · 13 across the 15 of their papers we have counts for

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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★ 3 cited

Sections and projections of nested convex bodies

I. González-García, J. Jerónimo-Castro, E. Morales-Amaya +1

One of the most important problems in Geometric Tomography is to establish properties of a given convex body if we know some properties over its sections or its projections. There…

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…