Lifting Smooth Curves over Invariants for Representations of Compact Lie Groups

Abstract

We show that one can lift locally real analytic curves from the orbit space of a compact Lie group representation, and that one can lift smooth curves even globally, but under an assumption.

Cite this paper

@inproceedings{Alekseevsky1997LiftingSC, title={Lifting Smooth Curves over Invariants for Representations of Compact Lie Groups}, author={Dmitri Alekseevsky and Andreas Kriegl and Mark Losik and Peter W. Michor}, year={1997} }