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I am trying to solve an exercise from MTW Gravitation and the following issue has come up:
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
?
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
?