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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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