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logarithmic

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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 [tex]Y_{\theta_t(p)}[/tex] used in that article means.

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

Can someone explain.

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

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

Can someone explain.

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