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arxiv: math/0612384 · v1 · submitted 2006-12-14 · 🧮 math.DG

Weakly reflective submanifolds and austere submanifolds

classification 🧮 math.DG
keywords austerereflectiveweaklyorbitssubmanifoldsubmanifoldscertaincondition
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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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