Research theme for competitive and other funds (2)：
対称空間内の部分多様体の無限次元幾何を利用した研究
Reserch of submanifolds in a symmetric space by using infinite dimensional geometry
Papers (62)：
Naoyuki Koike. Isoparametric submanifolds in Hilbert spaces and holonomy maps. Illinois Journal of Mathematics. 2023. 67. 1. 153-170
Naoyuki Koike. The presevability of the curvature-adaptedness along the mean curvature flow. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. 2022. 84
Naoyuki Koike. The behaviour of the mean curvature flow for pinched submanifolds in rank one symmetric spaces. OSAKA JOURNAL OF MATHEMATICS. 2022. 59. 4. 905-950
The existence and the uniqueness of regularized mean curvature flows
(International Workshop on Geometric Evolutions and Related Fields 2021)
Regularized mean curvature flow in a Hilbert space and its application to the Gauge theory
(RIMS研究集会「非線形偏微分方程式における定性的理論」 2019)
Regularized mean curvature flow in a Hilbert space and its application to the Gauge theory
(Symmetry and Shape (Celebrating the 60th birthday of Prof. J. Berdnt) 2019)
Collapsing Theorem for Regularized Mean Curvature Flow and Its Application to Gauge Theory
(The 22nd International Workshop on Differential Geometry of Submanifolds in Symmetric Spaces and Related Problems & The 17th RIRCM-OCAMI Joint Differntial Geometry Workshop 2019)
