E. Morales-Amaya

collaborators

11 papers

math.MG2026

Convex bodies with centrally symmetric sections

E. Morales-Amaya

Let $K \subset R^{n}$ be a convex body, $n \geq 3$ . We say that $K$ satisfies the Barker-Larman condition if there exists a ball $B$ in the interior of $K$ such that for every…

math.MG2026

A characterization of the ellipsoid in terms of pairs of sections associated by a harmonic homology

EfrÃ©n Morales-Amaya

Let $K$ be a convex body in an affine chart of the $n$ dimensional real Projective space $RP^{n}$ , $n \geq 3$ , let $H$ be a hyperplane which is not a support hyperplane of $…

math.MG2026

A characterization of the sphere in terms of the stereographic projection

EfrÃ©n Morales-Amaya

Let $K$ be a convex body in the 3-dimensional Euclidian space $E^{3}$ and let $N, S$ in the boubdary bd $K$ of $K$ , $N \neq = S$ . Suppose that the support plane $I^_{S}$ of $K$ at…

math.MG2026

An equichordal characterization of the ellipsoid and the sphere

Victor A. Aguilar-Arteaga, Rafael IvÃ¡n Ayala-Figueroa, JesÃºs JerÃ³nimo-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.MG2025

Convex bodies with sections with hyperplanes of symmetry

Let $K \subset R^{n}$ be a convex body and let $p$ in the interior of $K$ , $n \geq 3$ . The point $p$ is said to be a \textit{Larman point} of $K$ if, for every hyperplane $Î…

math.MG2025

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

MarÃa Angeles Alfonseca, Michelle Cordier, JesÃºs JerÃ³nimo-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 $I^$ passing through $p$ the s…