38 citations · 52 across the 7 of their papers we have counts for
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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 of order four. We also ch…
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 -dimensional convex bodies which are invariant under a discrete subgroup , where is a…
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 in several cases. We also characteriz…
Symmetric Mahler's conjecture for the volume product in the three dimensional case
Hiroshi Iriyeh, Masataka Shibata
In this paper, we prove Mahler's conjecture concerning the volume product of centrally symmetric convex bodies in in the case where . Furthermore, we determine…