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

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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.
Classification : 22E45, 22C05
Mots-clés : compact Lie groups, representations, invariant polynomials, lifts of curves in the orbit space 
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/JOLT_2005_15_1_a14/
@article{JOLT_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},
     year = {2005},
     volume = {15},
     number = {1},
     zbl = {1062.22029},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2005_15_1_a14/}
}
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