- #1

binbagsss

- 1,277

- 11

Does it matter whether the metric is after or before the tensor?

My guess is it doesn't because tensors can be positioned in any order, the equation is unchanged.

E.g ##M_{ab}B^{c}T^{m}_{nl}=T^{m}_{nl}M_{ab}B^{c}## right?

However the covariant derivative operates on tensor after it and not the tensors that are before it,

So

##g_{uv}V^{v}=V_{u}##

what about ##V^{v}g_{uv}## does this equal ##V_{u}## or not,

Many thanks