Geodesic
On the orbit space of a three-dimensional compact linear Lie group
Izvestiya. Mathematics, Tome 75 (2011) no. 4, pp. 815-836 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the question of whether the topological quotient of a real linear representation of a simple three-dimensional compact Lie group is a manifold. We obtain an upper bound for the dimension of a representation whose quotient is a manifold, and examine most of the remaining cases.
Keywords: topological quotient of an action.
Mots-clés : Lie group 
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     title = {On the orbit space of a three-dimensional compact linear {Lie} group},
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O. G. Styrt. On the orbit space of a three-dimensional compact linear Lie group. Izvestiya. Mathematics, Tome 75 (2011) no. 4, pp. 815-836. http://geodesic.mathdoc.fr/item/IM2_2011_75_4_a5/

[1] O. G. Styrt, “On the orbit space of a compact linear Lie group with commutative connected component”, Trans. Moscow Math. Soc., 2009, 171–206 | DOI | MR | Zbl