Question on the notaion used to define Lie Derviative

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The discussion centers on the notation used in the definition of the Lie derivative, specifically the term Y_{\theta_t(p)}. Y represents a vector field, while \theta_t(p) is a function that indicates the evaluation point of the vector field. The consensus confirms that Y_{\theta_t(p)} indeed means to evaluate the vector field Y at the point specified by \theta_t(p), aligning with the notation presented in the referenced article on PlanetMath.

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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 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.
 
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logarithmic said:
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.
 

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