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math.MG2023
An equichordal characterization of the ellipsoid and the sphere
Victor A. Aguilar-Arteaga, Rafael Iván Ayala-Figueroa, Jesús Jerónimo-Castro +1
Let and be two convex bodies in , , with . In this paper we prove the following result: if every two parallel chords of ,…
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 , , be a convex body. A point the interior of is said to be a Larman point of if for every hyperplane passing through the se…
math.MG2023
Convex bodies with centrally symmetric sections
E. Morales-Amaya
Let be a convex body, . We say that satisfies the Barker-Larman condition if there exists a ball in the interior of such that for every…