Hiroshi Iriyeh

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

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7 papers · 1 filter

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.DG2015★ 1 cited

Almost all Lagrangian torus orbits in $C P^{n}$ are not Hamiltonian volume minimizing

Hiroshi Iriyeh, Hajime Ono

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

math.DG2015★ 8 cited

Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces

Hiroshi Iriyeh, Hui Ma, Reiko Miyaoka +1

In this article we study the Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces in the spheres as Lagrangian submanifolds embedded in complex hyperquadr…

math.DG2014

Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing

Hiroshi Iriyeh, Hajime Ono

In 1993, Y.-G. Oh proposed a problem whether standard Lagrangian tori in C^n are volume minimizing under Hamiltonian isotopies of C^n. In this article, we prove that most of them d…

math.DG2008

Tight Lagrangian surfaces in $S^{2} \times S^{2}$

Hiroshi Iriyeh, Takashi Sakai

We determine all tight Lagrangian surfaces in $S^{2} \times S^{2}$ . In particular, globally tight Lagrangian surfaces in $S^{2} \times S^{2}$ are nothing but real forms.

math.DG2005★ 2 cited

Uniqueness of Hamiltonian volume minimizing Lagrangian submanifolds which are Hamiltonian isotopic to RP^n in CP^n