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math.DG2008
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…
math.DG2006
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…