Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.]

Abstract

We improve the main results in the paper from the title 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.

5 pages

References in corpus (1)

• A generalization of Puiseux's theorem and lifting curves over invariants

Cited by in corpus (3)

• A generalization of Puiseux's theorem and lifting curves over invariants
• Lifting differentiable curves from orbit spaces
• Lifting quasianalytic mappings over invariants