Mathematics – Differential Geometry
Scientific paper
2000-11-28
Mathematics
Differential Geometry
5 pages
Scientific paper
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.
Castrigiano Domenico P. L.
Hayes Sandra A.
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