3 citations · 7 across the 13 of their papers we have counts for
14 papers
Polars and antipodal sets for the outer -symmetric space
Jost-Heinrich Eschenburg, Takashi Sakai
We determine the polar and the maximal antipodal set for the outer 3-symmetric space where the 3-symmetric structure is…
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…
The intersection of two real flag manifolds in a complex flag manifold
Osamu Ikawa, Hiroshi Iriyeh, Takayuki Okuda +2
We give a necessary and sufficient condition for two real flag manifolds, which are not necessarily congruent, in a complex flag manifold to intersect transversally in terms of the…
Variational problems for integral invariants of the second fundamental form of a map between pseudo-Riemannian manifolds
Rika Akiyama, Takashi Sakai, Yuichiro Sato
We study variational problems for integral invariants, which are defined as integrations of invariant functions of the second fundamental form, of a smooth map between pseudo-Riema…
Natural -symmetric structures on -spaces
Peter Quast, Takashi Sakai
We classify -spaces that admit a certain natural -symmetric structure. We further determine the maximal antipodal sets of these structures.
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…