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- TL;DR Summary
- Pushforward of vector field.

I am looking at the following document. In section 2.3 they have the formula for the pushforward:

f

I am having trouble trying to reconcile this with the more familiar equation:

f

Any help would be appreciated.

f

_{*}(X) := Tf o X o f^{-1}I am having trouble trying to reconcile this with the more familiar equation:

f

_{*}(X)(g ) = X(g o f)Any help would be appreciated.