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9 papers · 1 filter
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…
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…
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 be two -symmetric convex bodies with strictly convex. Suppose that from every…
Some results about equichordal convex bodies
Jesús Jerónimo-Castro, Francisco G. Jimenez-Lopez, Efrén Morales-Amaya
Let and be two convex bodies in , , with . We say that is an equichordal body for if every chord of tangent to $L…
A characterization of centrally symmetric convex bodies in terms of visual cones
E. Morales-Amaya, J. Jerónimo-Castro, D. J. Verdusco-Hernández
In this work we prove the following result: Let be a strictly convex body in the Euclidean space , and let be a hypersurface, which is the image of a…
Sections and projections of nested convex bodies
I. González-García, J. Jerónimo-Castro, E. Morales-Amaya +1
One of the most important problems in Geometric Tomography is to establish properties of a given convex body if we know some properties over its sections or its projections. There…