論文など
プレプリント
論文(査読付き)
Nonexistence of stable discrete maps into some homogeneous spaces of nonnegative curvature, Ann. Mat. Pura Appl. 203 (2024), 563–603. arXiv.
(with Takahiro Hashinaga) Equivariant realizations of Hermitian symmetric space of noncompact type, Math. Z. 300 (2022) 2363–2411. arXiv.
(with Ryokichi Tanaka) Uniformizing surfaces via discrete harmonic maps, Ann. H. Lebesgue. 4 (2021) 1767-1807, arXiv.
On Hamiltonian stable Lagrangian tori in complex hyperbolic spaces. J. Math. Soc. Japan. 72(2020) no.2, 435-463 arXiv.
(with Keita Kunikawa) A convergence of generalized Lagrangian mean curvature flow in Kahler manifold of positive weighted Ricci form (Survey paper) Adv. Stud. Pure Math. 85 (Proceedings of MSJ-SI2018), 2020, pp. 205-214. PDF.
(with Keita Kunikawa) Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow. J. Geom. Phys. 128C (2018) pp. 140-168. arXiv.
Reductions of minimal Lagrangian submanifolds with symmetries. Math. Z. 289 (2018) no. 3-4, pp 1169-1189. arXiv.
(with Takahiro Hashinaga) A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces. Ann. Global Anal. Geom. 51 (2017), no. 1, 21–33.
On the Hamiltonian minimality of normal bundles. (Survey paper) Real and Complex Submanifolds, Springer Proc. Math. Stat., 106, ,2014, pp 485-496.
Hamiltonian minimality of normal bundles over the isoparametric submanifolds. Differ. Geom. Appli. 37 (2014) 89–108.
On the minimality of normal bundles in the tangent bundles over the complex space forms. Differential Geometry of Submanifolds and its Related Topics, pp. 260-272 (2013)
Second variational formula and the stability of Legendrian minimal submanifolds in Sasakian manifolds. Tohoku. Math. J. 65, 523–543 (2013).
予稿集・講究録・講演録(備忘録)
非負曲率等質空間への安定離散写像の非存在, 数理解析研究所講究録 No.2278, 軽微な修正を加えた PDF.
On stable discrete maps into compact Riemannian manifolds, Proceedings of The 24th International Workshopon Differential Geometry & Related Fields 24(2023).
非コンパクト型エルミート対称空間の同変実現, 部分多様体幾何とリー群作用2021講演録, PDF.
離散調和写像による曲面の一意化, 部分多様体論湯沢2019.
Some homogeneous Lagrangian submanifolds in complex hyperbolic spaces, Proceedings of 22nd International conferences in KNU (2019).
複素双曲空間内のハミルトン安定ラグランジュトーラスについて, 部分多様体幾何とリー群作用2018講演録, 軽微な修正と若干の加筆をしたPDF.
対称性を持つ極小ラグランジュ部分多様体の簡約, 第65回幾何学シンポジウム(2018)アブストラクト, PDF.
Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow, abstract of MSJ-SI 2018, Hokkaido University Technical Report Series in Mathematics.
(with Keita Kunikawa) ファノ多様体内のラグランジュ平均曲率流の収束, 数理解析研究所講究録 No.2068, p.1-21. PDF.
複素双曲空間内の等質ラグランジュ部分多様体, 数理解析研究所講究録 No.2017, pp.84-103. 軽微な修正をしたPDF.
複素双曲空間内の可解群作用により得られる等質ラグランジュ部分多様体, 部分多様体論湯沢2015.
等型部分多様体上の法束のハミルトン極小性, 部分多様体論湯沢2013.
法束の極小性とaustere部分多様体, 部分多様体幾何とリー群作用2013
佐々木多様体内のルジャンドル極小部分多様体の安定性, 数理解析研究所講究録 No. 1775, 52-65.
商業誌への寄稿
グラフ上の変分問題 --曲面上のグラフの標準実現-- 数理科学2023年2月号.
博士論文
Variational problems of Lagrangian submanifolds in Kahler manifolds , Tohoku University, March 2014, 113 pages.