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On embeddings of proper smooth $$G$$-manifolds. (English) Zbl 0827.53050
In this paper we consider proper smooth actions of linear Lie groups. We prove that if $$G$$ is a linear Lie group and $$M$$ is a proper smooth $$G$$- manifold having only finitely many orbit types, then there exists a $$G$$- equivariant, closed smooth embedding of $$M$$ into some linear $$G$$-space.

##### MSC:
 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) 57S25 Groups acting on specific manifolds
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