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.MG2024

A characterization of translated convex bodies

Efren Morales-Amaya

In this work we present a theorem regarding two convex bodies $K_{1}, K_{2} \subset R^{n}$ , $n \geq 3$ , and two families of sections of them, given by two families of tangent pl…

math.MG2024

Convex bodies with pairs of sections associated by reflections

Efren Morales-Amaya

In this work we prove that if for a pair of convex bodies $K_{1}, K_{2} \subset R^{n}$ , $n \geq 3$ , there exists a hyperplane $H$ and two distinct points $p_{1}$ and $p_{2}$ in $\ma…

math.MG2024★ 1 cited

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…