3 citations · 9 across the 7 of their papers we have counts for
8 papers
The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad
Kurando Baba, Osamu Ikawa, Shinji Ohno
The necessary and sufficient conditions for the intersection of two real flag manifolds in a complex flag manifold to be discrete are stated including a previous known result. The…
Polars and antipodal sets of generalized -manifolds
Shinji Ohno, Takashi Sakai
In this paper, we introduce the notion of generalized -manifolds, which is a generalization of symmetric spaces. Then we give a method to construct generalized -manifolds and…
On cohomogeneity one hyperpolar actions related to
Shinji Ohno, Yuuki Sasaki
Cohomogeneity one actions on irreducible Riemannian symmetric spaces of compact type are classified into three cases: Hermann actions, actions induced by the linear isotropy repres…
Geometric Properties of Orbits of Hermann actions
Shinji Ohno
In this paper, we investigate properties of orbits of Hermann actions as submanifolds without assuming the commutability of involutions which define Hermann actions. In particular,…
Biharmonic orbits of isotropy representations of symmetric spaces
Shinji Ohno
In this paper, we give a necessarly and sufficient condition for orbits of linear isotropy representations of Riemannian symmetric spaces are biharmonic submanifolds in hypersphere…
Biharmonic homogeneous submanifolds in compact symmetric spaces and compact Lie groups
Shinji Ohno, Takashi Sakai, Hajime Urakawa
We give a necessary and sufficient condition for orbits of commutative Hermann actions and actions of the direct product of two symmetric subgroups on compact Lie groups to be biha…
Area-minimizing cones over minimal embeddings of R-spaces
Shinji Ohno, Takashi Sakai
In this paper, by constructing area-nonincreasing retractions, we prove area-minimizing properties of some cones over minimal embeddings of R-spaces.
Biharmonic homogeneous hypersurfaces in compact symmetric spaces
Shinji Ohno, Takashi Sakai, Hajime Urakawa
In this paper, we study biharmonic hypersurfaces in Einstein manifolds. Then, we determine all the biharmonic hypersurfaces in irreducible symmetric spaces of compact type which ar…