D. Ryabogin

activity

20092026

most citedA remark on the Mahler conjecture: local minimality of the unit cube

60 citations · 80 across the 17 of their papers we have counts for

collaborators

Showing 2016 · math.MGShow all

2 papers · 2 filters

math.MG2016

Star bodies with completely symmetric sections

Sergii Myroshnychenko, Dmitry Ryabogin, Christos Saroglou

We say that a star body $K$ is completely symmetric if it has centroid at the origin and its symmetry group $G$ forces any ellipsoid whose symmetry group contains $G$ , to be a ball…

math.MG2016

On polytopes with congruent projections or sections

Sergii Myroshnychenko, Dmitry Ryabogin

Let $2 \leq k \leq d - 1$ and let $P$ and $Q$ be two convex polytopes in $E^{d}$ . Assume that their projections, $P ∣ H$ , $Q ∣ H$ , onto every $k$ -dimensional subspace $H$ , are congru…