- #1
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Can somone remind me how to see that the Lie derivative of a vector field, defined as
[tex](L_XY)_p=\lim_{t\rightarrow 0}\frac{\phi_{-t}_*Y_{\phi_t(p)}-Y_p}{t}[/tex]
is actually equal to [itex][X,Y]_p[/itex]?
[tex](L_XY)_p=\lim_{t\rightarrow 0}\frac{\phi_{-t}_*Y_{\phi_t(p)}-Y_p}{t}[/tex]
is actually equal to [itex][X,Y]_p[/itex]?