T. Sakai

collaborators

3 papers

math.DG2025

Polars and antipodal sets for the outer $3$ -symmetric space $S^{7} \times S^{7}$

Jost-Heinrich Eschenburg, Takashi Sakai

We determine the polar and the maximal antipodal set $P$ for the outer 3-symmetric space $S^{7} \times S^{7} = Spin_{8} / G_{2}$ where the 3-symmetric structure is…

math.DG2025

Polars and antipodal sets of generalized $s$ -manifolds

Shinji Ohno, Takashi Sakai

In this paper, we introduce the notion of generalized $s$ -manifolds, which is a generalization of symmetric spaces. Then we give a method to construct generalized $s$ -manifolds and…

math.DG2025

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…

Polars and antipodal sets for the outer 3-symmetric space S7×S7

Polars and antipodal sets of generalized s-manifolds

The intersection of two real flag manifolds in a complex flag manifold

Polars and antipodal sets for the outer $3$ -symmetric space $S^{7} \times S^{7}$

Polars and antipodal sets of generalized $s$ -manifolds