activity
20032025
most citedSymmetric Mahler's conjecture for the volume product in the three dimensional case

38 citations · 58 across the 13 of their papers we have counts for

collaborators

14 papers

math.DG2025

The intersection of two real flag manifolds in a complex flag manifold

Osamu Ikawa, Hiroshi Iriyeh, Takayuki Okuda +2

We give a necessary and sufficient condition for two real flag manifolds, which are not necessarily congruent, in a complex flag manifold to intersect transversally in terms of the…

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 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 -dimensional convex bodies which are invariant under a discrete subgroup , where is a…

math.MG2020★ 1 cited

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…

math.MG2017★ 38 cited

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…

math.DG2015★ 1 cited

Almost all Lagrangian torus orbits in are not Hamiltonian volume minimizing

Hiroshi Iriyeh, Hajime Ono

All principal orbits of the standard Hamiltonian -action on the complex projective space are Lagrangian tori.In this article, we prove that most of them are n…