6 citations · 23 across the 42 of their papers we have counts for
44 papers
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…
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 of (Riemannian) symmetric spaces (). By this constr…
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…
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 , where is a symmetric space of compact type, is an open interval, and …
Isoparametric submanifolds in a Riemannian Hilbert manifold
Naoyuki Koike
In this paper, we introduce the notion of a regularizable submanifold in a Riemannian Hilbert manifold. This submanifold is defined as a curvature-invariant submanifold such that i…
Calabi-Yau structures on the complexifications of rank two symmeric spaces
Naoyuki Koike
For a (Reimannian) symmetric space of compact type, the natural action of on its complexification (which is an anti-Kaehler symmetric space)…