Orbits of Lie Group Actions are Weakly Embedded

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dc.creatorCastrigiano, Domenico P. L.
dc.creatorHayes, Sandra A.
dc.date2000-11-28
dc.date.accessioned2026-07-07T04:38:54Z
dc.date.available2026-07-07T04:38:54Z
dc.descriptionIn 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.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0011241
dc.identifierhttp://arxiv.org/abs/math/0011241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60458
dc.subjectDifferential Geometry
dc.subjecttransformation groups, manifolds
dc.titleOrbits of Lie Group Actions are Weakly Embedded
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