N. Koike

activity

20242026

collaborators

5 papers

math.DG2026

Equifocal hypersurfaces in symmetric spaces of compact type and backward mean curvature flows

Kurando Baba, Naoyuki Koike

We first derive a formula for the mean curvature and the squared norm of the shape operator of equifocal hypersurfaces in simply-connected irreducible symmetric spaces of compact t…

math.DG2026

Calabi-Yau structures on the complexifications of rank two symmeric spaces

Naoyuki Koike

For a (Reimannian) symmetric space $G / K$ of compact type, the natural action of $G$ on its complexification $G^{C} / K^{C}$ (which is an anti-Kaehler symmetric space)…

math.DG2025

A construction of curvature-adapted hypersurfaces in the product of symmetric spaces

Naoyuki Koike

In this paper, we give a construction of curvature-adapted hypersurfaces in the product $G_{1} / K_{1} \times G_{2} / K_{2}$ of (Riemannian) symmetric spaces $G_{i} / K_{i}$ ( $i = 1, 2$ ). By this constr…

math.DG2025

Mean curvature flow for principal orbits of Hermann actions on rank two symmetric spaces

Naoyuki Koike, Sakura Nakaoka

In this paper, we illustrate the behaviour of the mean curvature flows starting from principal orbits of any commuting Hermann action of cohomogeneity two on irreducible rank two R…

math.DG2024

Isotropy invariant graphical mean curvature flows in warped products

Naotoshi Fujihara, Naoyuki Koike

In this paper, we study the graphical mean curvature flow in a warped product $_{r} G / K \times I$ , where $G / K$ is a symmetric space of compact type, $I$ is an open interval, and $r$ …