Reparametrization and vector fields

**Zennie** · February 23rd 2011, 11:15 PM

Let $Y$ be a vector field on a curve $\alpha$ . If $\alpha (h)$ is a reparametrization of $\alpha$ , show that the reparametrization $Y(h)$ is a vector field on $\alpha (h)$ .

I'm a bit stuck and would appreciate some help.

**FernandoRevilla** · February 24th 2011, 08:05 AM

Originally Posted by Zennie

Let $Y$ be a vector field on a curve $\alpha$ . If $\alpha (h)$ is a reparametrization of $\alpha$ , show that the reparametrization $Y(h)$ is a vector field on $\alpha (h)$ .

I don't know which is the problem. If $h$ is a reparametrization of $\alpha$ then, there exists $Y\circ \alpha \circ h$ .

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