- #1
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Hi, again:
Just a quick question; I have "notation indigestion", i.e., I have been trying
to figure way too many technicalities recently; I would appreciate a quick yes/no:
Say X_p is a V.Field defined at p in a C^k manifold; k>0 . Say (U,Phi) and (U',Phi')
are both charts containing p . Just wondering if the rule for coordinate change
of X from chart-to-chart is; is it given by
d(Phi o Phi'^-1) and d(Phi' o Phi^-1) ?
I mean, I know it involves the chain rule, but I wonder if it is the chain rule
applied to the two formulas above.
Thanks.
Just a quick question; I have "notation indigestion", i.e., I have been trying
to figure way too many technicalities recently; I would appreciate a quick yes/no:
Say X_p is a V.Field defined at p in a C^k manifold; k>0 . Say (U,Phi) and (U',Phi')
are both charts containing p . Just wondering if the rule for coordinate change
of X from chart-to-chart is; is it given by
d(Phi o Phi'^-1) and d(Phi' o Phi^-1) ?
I mean, I know it involves the chain rule, but I wonder if it is the chain rule
applied to the two formulas above.
Thanks.