Weakly reflective submanifolds and austere submanifolds
Osamu Ikawa, Takashi Sakai, Hiroyuki Tasaki
Abstract
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 determine weakly reflective orbits and austere orbits of s-representations.
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