Weakly reflective submanifolds and austere submanifolds

Details Weakly reflective submanifolds and austere submanifolds Weakly reflective submanifolds and austere submanifolds

2006-12-14

arxiv.org/abs/math/0612384v1

Mathematics

Differential Geometry

30 pages

Scientific paper

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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