About stratification by orbit types

Julien M. P. Giacomoni (1)

1 Mathématiques Fondamentales

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 this article we will see that this stratification satisfies the strong Verdier condition.

Mots clés: orbit types; proper action; lie group; stratification; orbit types.

Domaines: Mathématiques générales [math.GM]; Géométrie différentielle [math.DG]; Systèmes dynamiques [math.DS]

Julien M. P. Giacomoni. About stratification by orbit types. 2014. ⟨hal-00906455v2⟩