Universidad Autónoma de Guerrero

output

20062025

most citedTopological versus spectral properties of random geometric graphs

23 citations

researchers with a paper here

collaborating institutions

Showing math.MGShow all

9 papers · 1 filter

math.MG2025

Characterization of the sphere by means of congruent support cones

Efren Morales Amaya

Let $M$ be a convex body and let $K$ be a closed convex surface $K$ both contained in the Euclidean space $E^{3}$ . What can we say about $M$ if $K$ encloses $M$ and if from…

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…

math.MG2023★ 1 cited

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…

math.MG2022★ 3 cited

A characterization of the ellipsoid through planar grazes

Ivan Gonzalez Garcia, Jesus Jeronimo Castro, Diana Janett Verdusco Hernandez +1

In this paper we proved the following: \emph{Let $K, L \subset R^{3}$ be two $O$ -symmetric convex bodies with $L \subset int K$ strictly convex. Suppose that from every…

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…