Orbits of Lie Group Actions are Weakly Embedded
Castrigiano, Domenico P. L. · Hayes, Sandra A.
Original · EN
In this note we prove that whenever a Lie group G acts on a manifold X, then the orbit Gx through any point x of X is a weakly embedded submanifold of X. The investigation of this problem was inspired by an application to Cat astrophe Theory.
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