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徳島大学 ⟩ 大学院社会産業理工学研究部 ⟩ 理工学域 ⟩ 数理科学系 ⟩ 数理情報分野 ⟩ (researchmapへのインポート用ファイル) [PDF解説] [researchmapへの自動反映について]

研究活動

個人のホームページ

専門分野

○ 数学 (Mathematics)

研究テーマ

○ 幾何解析, 微分幾何学 (幾何学的フロー, 熱方程式, 部分多様体)

著書・論文

学術論文(審査論文):

1. Keita Kunikawa and Sakurai Yohei :
Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition,
Proceedings of the American Mathematical Society, Vol.150, No.4, 1767-1777, 2022.
2. Keita Kunikawa and Sakurai Yohei :
Liouville theorem for harmonic map heat flow along ancient super Ricci flow via reduced geometry,
Calculus of Variations and Partial Differential Equations, Vol.60, No.199, 2021.
3. Keita Kunikawa and Sakurai Yohei :
Liouville theorem for heat equation along ancient super Ricci flow via reduced Geometry,
The Journal of Geometric Analysis, Vol.31, 11899-11930, 2021.
4. Keita Kunikawa :
On Ecker's local integral quantity at infinity for ancient mean curvature flows,
Annals of Global Analysis and Geometry, Vol.58, 253-266, 2020.
(DOI: 10.1007/s10455-020-09724-7)
5. Keita Kunikawa and Ryosuke Takahashi :
Convergence of mean curvature flow in hyper-Kähler manifolds,
Pacific Journal of Mathematics, Vol.305, No.2, 667-691, 2020.
(DOI: 10.2140/pjm.2020.305.667)
6. Keita Kunikawa and Kajigaya Toru :
A convergence of generalized Lagrangian mean curvature flow in Kähler manifold of positive weighted Ricci form,
Advanced Studies in Pure Mathematics, Vol.85, 205-214, 2020.
7. Keita Kunikawa and Shunsuke Saito :
Remarks on topology of stable translating solutions,
Geometriae Dedicata, Vol.202, No.1, 1-8, 2018.
(DOI: 10.1007/s10711-018-0399-1)
8. Keita Kunikawa :
Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature,
Geometriae Dedicata, Vol.201, No.1, 369-377, 2018.
(DOI: 10.1007/s10711-018-0397-3)
9. Keita Kunikawa and Toru Kajigaya :
Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow,
Journal of Geometry and Physics, Vol.128, 140-168, 2018.
(DOI: 10.1016/j.geomphys.2018.02.011)
10. Keita Kunikawa :
Translating solitons in arbitrary codimension,
Asian Journal of Mathematics, Vol.21, No.5, 855-872, 2018.
11. Keita Kunikawa :
A Bernstein type theorem of ancient solutions to the mean curvature flow,
Proceedings of the American Mathematical Society, Vol.144, No.3, 1325-1333, 2015.
12. Keita Kunikawa :
Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle,
Calculus of Variations and Partial Differential Equations, Vol.54, No.2, 1331-1344, 2015.

総説・解説:

1. 國川 慶太 :
平均曲率流方程式,
数理科学, Vol.62, No.2, 30-37, 2024年2月.