Orbits of Lie Group Actions are Weakly Embedded

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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.
5 pages

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Differential Geometry, transformation groups, manifolds

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http://salesiana.dossiersoluciones.com/handle/123456789/60458

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011241
 http://arxiv.org/abs/math/0011241

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arXiv