101 citations · 103 across the 9 of their papers we have counts for
11 papers
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 , ellipsoids and bodies of revolution are characterized by the fact that all their planar…
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 solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball
M. Angeles Alfonseca, Fedor Nazarov, Dmitry Ryabogin +1
We show that the fifth and the eighth Busemann-Petty problems have positive solutions for bodies that are sufficiently close to the Euclidean ball in the Banach-Mazur distance.
Characterizations of generalized convex bodies of revolution
María Angeles Alfonseca, Michelle Cordier, Efrén 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 in the Euclidean space , are enough to guar…
Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane
M. Angeles Alfonseca, Michelle Cordier, Dan I. Florentin
Following Santaló's approach, we prove several characterizations of a disc among bodies of constant width, constant projections lengths, or constant section lengths on given famili…
On bodies in with directly congruent projections or sections
M. Angeles Alfonseca, Michelle Cordier, Dmitry Ryabogin
Let and be two convex bodies in with countably many diameters, such that their projections onto all dimensional subspaces containing one fixed diameter…