Geodesic
Lifting Smooth Curves over Invariants for Representations of Compact Lie Groups, II
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 227-234.

Voir la notice de l'article provenant de la source Heldermann Verlag

Any sufficiently often differentiable curve in the orbit space of a compact Lie group representation can be lifted to a once differentiable curve into the representation space. 
@article{JLT_2005_15_1_JLT_2005_15_1_a14,
     author = {A. Kriegl and M. Losik and P. W. Michor and A. Rainer },
     title = {Lifting {Smooth} {Curves} over {Invariants} for {Representations} of {Compact} {Lie} {Groups,} {II}},
     journal = {Journal of Lie theory},
     pages = {227--234},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2005},
     url = {http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a14/}
}
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A. Kriegl; M. Losik; P. W. Michor; A. Rainer . Lifting Smooth Curves over Invariants for Representations of Compact Lie Groups, II. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 227-234. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a14/