Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Hiroshi Iriyeh"'
Autor:
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 characterize the convex bodies with the minimal volume product in each case. In p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4669f2fceb46a9c3727d29fcfa7c244
http://arxiv.org/abs/2007.08736
http://arxiv.org/abs/2007.08736
Autor:
Masataka Shibata, Hiroshi Iriyeh
Publikováno v:
Duke Math. J. 169, no. 6 (2020), 1077-1134
We prove Mahler’s conjecture concerning the volume product of centrally symmetric, convex bodies in $\mathbb{R}^{n}$ in the case where $n=3$ . More precisely, we show that, for every $3$ -dimensional, centrally symmetric, convex body $K\subset\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90ad541f3ff994a11f8242fadc76a77b
https://doi.org/10.1215/00127094-2019-0072
https://doi.org/10.1215/00127094-2019-0072
Autor:
Hiroshi Iriyeh
Publikováno v:
Advances in Geometry. 17:247-264
We examine symplectic topological features of a certain family of monotone Lagrangian submanifolds in ℂPn . First we give cohomological constraints on a Lagrangian submanifold in ℂPn whose first integral homology is p-torsion. In the case where (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::082236992035ee471c78c2f954293e4d
https://doi.org/10.1515/advgeom-2017-0005
https://doi.org/10.1515/advgeom-2017-0005
Publikováno v:
Bulletin of the London Mathematical Society. 48:802-812
In this article we study the Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces in the spheres as Lagrangian submanifolds embedded in complex hyperquadrics.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e80156e44f77ea041a99e03196abc7af
https://doi.org/10.1112/blms/bdw040
https://doi.org/10.1112/blms/bdw040
Almost all Lagrangian torus orbits in $${\mathbb C}P^n$$ C P n are not Hamiltonian volume minimizing
Autor:
Hajime Ono, Hiroshi Iriyeh
Publikováno v:
Annals of Global Analysis and Geometry. 50:85-96
All principal orbits of the standard Hamiltonian \(T^n\)-action on the complex projective space \({\mathbb C}P^n\) are Lagrangian tori. In this article, we prove that most of them are not volume minimizing under Hamiltonian isotopies of \({\mathbb C}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::456a71e56a5f8ba69a683f8cf369a3e9
https://doi.org/10.1007/s10455-016-9504-6
https://doi.org/10.1007/s10455-016-9504-6
Publikováno v:
Differential Geometry and Tanaka Theory — Differential System and Hypersurface Theory —, T. Shoda and K. Shibuya, eds. (Tokyo: Mathematical Society of Japan, 2019)
We show that the intersection of real flag manifolds in the complex flag manifold consisting of sequences of complex subspaces in a complex vector space is an antipodal set, which is a generalization of that in a Hermitian symmetric space of compact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5620592a6a0ded6053f329dbe0e09758
https://projecteuclid.org/euclid.aspm/1574872402
https://projecteuclid.org/euclid.aspm/1574872402
Publikováno v:
J. Math. Soc. Japan 65, no. 4 (2013), 1135-1151
In this paper we calculate the Lagrangian Floer homology $HF(L_0, L_1 : {\mathbb Z}_2)$ of a pair of real forms $(L_0,L_1)$ in a monotone Hermitian symmetric space $M$ of compact type in the case where $L_0$ is not necessarily congruent to $L_1$. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc71c16dd472257d6ae7d8ccc2681b2f
https://tsukuba.repo.nii.ac.jp/records/33792
https://tsukuba.repo.nii.ac.jp/records/33792
Autor:
Takashi Sakai, Hiroshi Iriyeh
Publikováno v:
Geometriae Dedicata. 145:1-17
We determine all tight Lagrangian surfaces in S2 × S2. In particular, globally tight Lagrangian surfaces in S2 × S2 are nothing but real forms of this symmetric space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f60f02755f2e63258f8ca676353289d
https://doi.org/10.1007/s10711-009-9398-6
https://doi.org/10.1007/s10711-009-9398-6
Autor:
Hiroshi Iriyeh, Takashi Otofuji
Publikováno v:
manuscripta mathematica. 122:391-406
We study geodesics of Hofer?s metric on the space of Lagrangian submanifolds in arbitrary symplectic manifolds from the variational point of view. We give a characterization of length?critical paths with respect to this metric. As a result, we see th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c950387c6492aad9008e75f3c3c932a
https://doi.org/10.1007/s00229-007-0076-4
https://doi.org/10.1007/s00229-007-0076-4
Autor:
Hiroshi Iriyeh
Publikováno v:
Journal of Geometry and Physics. 46:1-5
We prove that closed infinitesimally holomorphic curves in a hyperkahler four-manifold are actually holomorphic with respect to one of the parallel complex structures on the ambient space compatible with the metric.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e30332b30567992b0f5e3f76f668636
https://doi.org/10.1016/s0393-0440(02)00002-5
https://doi.org/10.1016/s0393-0440(02)00002-5