M. Cordier

activity

20152023

collaborators

Showing math.MGShow all

4 papers · 1 filter

math.MG2023

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 $K \subset R^{n}$ , $n \geq 3$ , be a convex body. A point $p$ the interior of $K$ is said to be a Larman point of $K$ if for every hyperplane $Π$ passing through $p$ the se…

math.MG2019

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…

math.MG2018

On bodies in $R^{5}$ with directly congruent projections or sections

M. Angeles Alfonseca, Michelle Cordier, Dmitry Ryabogin

Let $K$ and $L$ be two convex bodies in $R^{5}$ with countably many diameters, such that their projections onto all $4$ dimensional subspaces containing one fixed diameter…

math.MG2015

Counterexamples Related to Rotations of Shadows of Convex Bodies

M. Angeles Alfonseca, Michelle Cordier

We construct examples of two convex bodies $K, L$ in $R^{n}$ , such that every projection of $K$ onto a $(n - 1)$ -dimensional subspace can be rotated to be contained in the corr…

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

Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane

On bodies in R5 with directly congruent projections or sections

Counterexamples Related to Rotations of Shadows of Convex Bodies

On bodies in $R^{5}$ with directly congruent projections or sections