- #1
mnb96
- 715
- 5
Hello,
If I am given a vector space (e.g. [itex]\mathbb{R}^n[/itex]), and a group [itex]G[/itex] that acts on [itex]\mathbb{R}^n[/itex], what are the conditions that [itex]G[/itex] must satisfy so that for any given [itex]x\in\mathbb{R}^n[/itex] its orbit [itex]Gx[/itex] is a manifold ?
If I am given a vector space (e.g. [itex]\mathbb{R}^n[/itex]), and a group [itex]G[/itex] that acts on [itex]\mathbb{R}^n[/itex], what are the conditions that [itex]G[/itex] must satisfy so that for any given [itex]x\in\mathbb{R}^n[/itex] its orbit [itex]Gx[/itex] is a manifold ?