I am trying to solve an exercise from MTW Gravitation and the following issue has come up:(adsbygoogle = window.adsbygoogle || []).push({});

Let D denote uppercase delta (covariant derivative operator)

[ _ , _ ] denotes the commutator

f is a scalar field, and A and B are vector fields

Question:

Is it true that

[D_A,D_B]f = D_[A,B]f

?

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# Covariant Derivative Identity

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