Masataka Shibata

activity

20202024

collaborators

3 papers

math.MG2024

Minimal volume product of three dimensional convex bodies invariant under certain groups of order four

Hiroshi Iriyeh, Masataka Shibata

We give the sharp lower bound of the volume product of three dimensional convex bodies which are invariant under two kinds of discrete subgroups of $O (3)$ of order four. We also ch…

math.MG2022

Minimal volume product of convex bodies with certain discrete symmetries and its applications

Hiroshi Iriyeh, Masataka Shibata

We give the sharp lower bound of the volume product of $n$ -dimensional convex bodies which are invariant under a discrete subgroup $S O (K) = {g \in S O (n); g (K) = K}$ , where $K$ is a…

math.MG2020

Minimal volume product of three dimensional convex bodies with various discrete symmetries

Hiroshi Iriyeh, Masataka Shibata

We give the sharp lower bound of the volume product of three dimensional convex bodies which are invariant under a discrete subgroup of $O (3)$ in several cases. We also characteriz…