On embeddings of proper smooth \(G\)-manifolds. (English) Zbl 0827.53050

Kankaanrinta, Marja

Math. Scand. 74, No. 2, 208-214 (1994).

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.

Reviewer: M.Kankaanrinta (Helsinki)

MSC:

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

Keywords:

equivariant embedding; proper smooth actions; linear Lie groups; \(G\)- manifold; linear \(G\)-space