Geodesic
Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600
Journal of Lie theory, Tome 22 (2012) no. 1, pp. 245-249
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We improve the main results in the paper from the title [Journal of Lie Theory 16 (2006) 579--600] using a recent refinement of Bronshtein's theorem due to Colombini, Orrú, and Pernazza. They are then in general best possible both in the hypothesis and in the outcome. As a consequence we obtain a result on lifting smooth mappings in several variables.
Classification : 22E45, 22C05
Mots-clés : Invariants, representations, lifting differentiably 
@article{JLT_2012_22_1_JLT_2012_22_1_a8,
     author = {A. Kriegl and M. Losik and P. W. Michor and A. Rainer},
     title = {Addendum to: {"Lifting} smooth curves over invariants for representations of compact {Lie} groups, {III",} {J.} {Lie} {Theory} 16 (2006), {No.} 3, 579--600},
     journal = {Journal of Lie theory},
     pages = {245--249},
     year = {2012},
     volume = {22},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_1_JLT_2012_22_1_a8/}
}
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A. Kriegl; M. Losik; P. W. Michor; A. Rainer. Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600. Journal of Lie theory, Tome 22 (2012) no. 1, pp. 245-249. http://geodesic.mathdoc.fr/item/JLT_2012_22_1_JLT_2012_22_1_a8/