D. Ryabogin

collaborators

2 papers

math.MG2026

The Spherical GrÃ¼nbaum Inequality

Sergii Myroshnychenko, Dmitry Ryabogin, Kateryna Tatarko +1

We prove an analogue of GrÃ¼nbaum's inequality on the sphere. Let $n \geq 3$ and let $K$ be a convex body on $S^{n - 1} \subset R^{n}$ with centroid at $Î¸\in \mathbb S^…

math.MG2026

On convex bodies with constant non-central sections

J. Haddad, D. Ryabogin

We prove that if $C$ is a symmetric convex body of revolution in $R^{4}$ containing the unit Euclidean ball $B_{4}$ , such that the sections of $C$ by hyperplanes tangen…