4 papers
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…
Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type
Hiroshi Iriyeh, Takashi Sakai, Hiroyuki Tasaki
In this paper we calculate the Lagrangian Floer homology of a pair of real forms in a monotone Hermitian symmetric space of compact t…
Orbits of s-representations with degenerate Gauss mappings
Osamu Ikawa, Takashi Sakai, Hiroyuki Tasaki
In this paper we study tangentially degeneracy of the orbits of s-representations in the sphere. We show that an orbit of an s-representation is tangentially degenerate if and only…
Weakly reflective submanifolds and austere submanifolds
Osamu Ikawa, Takashi Sakai, Hiroyuki Tasaki
We introduce the notion of a weakly reflective submanifold, which is an austere submanifold with a certain global condition, and study its fundamental properties. Using these, we d…