English

On the stratification by orbit types II

Dynamical Systems 2017-04-21 v1

Abstract

When we have a proper action of a Lie group on a manifold, it is well known that we get a stratification by orbit types and it is known that this stratification satisfies the Whitney (b) condition. In a previous article we have seen that the stratification satisfies the strong Verdier condition. In this article we improve this result and obtain smooth local triviality.

Cite

@article{arxiv.1704.06121,
  title  = {On the stratification by orbit types II},
  author = {Julien Giacomoni},
  journal= {arXiv preprint arXiv:1704.06121},
  year   = {2017}
}
R2 v1 2026-06-22T19:22:31.425Z