- #1
mnb96
- 715
- 5
Hello,
Let's suppose that I have a Lie group G parametrized by one real scalar t and acting on ℝ2.
Is it generally correct to say that the orbits of the points of ℝ2 under the group action are one-dimensional submanifolds of ℝ2, because G is parametrized by one single scalar?
If so, how can I prove this statement?
Thanks.
Let's suppose that I have a Lie group G parametrized by one real scalar t and acting on ℝ2.
Is it generally correct to say that the orbits of the points of ℝ2 under the group action are one-dimensional submanifolds of ℝ2, because G is parametrized by one single scalar?
If so, how can I prove this statement?
Thanks.