Question on the notaion used to define Lie Derviative

[logarithmic]

I have a definition of the Lie derivative, that is the one found here: http://planetmath.org/encyclopedia/LieDerivative2.html

However, I'm not sure what the notation $$Y_{\theta_t(p)}$$ used in that article means.

Y is a vector field and $$\theta_t(p)$$ is a function. Does it mean evaluate Y at \theta_t(p)}[/tex]?

Can someone explain.

 

[arkajad]

Does it mean evaluate Y at $$\theta_t(p)}$$?

Yes. Your guess is good and it is consistent with the notation used throughout this article.