M. Alfonseca

collaborators

3 papers

math.MG2026

Characterizations of generalized convex bodies of revolution

MarÃa Angeles Alfonseca, Michelle Cordier, EfrÃ©n Morales Amaya +1

In this work we prove that either a sequence of axes of symmetry or a sequence of hyperplanes of symmetry of a convex body $K$ in the Euclidean space $E^{d}, d > 2$ , are enough to guar…

math.MG2026

On Bezdek's conjecture for high-dimensional convex bodies with an aligned center of symmetry

M. Angeles Alfonseca, B. Zawalski

In 1999, K. Bezdek posed a conjecture stating that among all convex bodies in $R^{3}$ , ellipsoids and bodies of revolution are characterized by the fact that all their planar…

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…