- #1
binbagsss
- 1,291
- 12
This is probably a really stupid question , but,
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
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