Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Raising and lowering indices using metric quick q

  1. Jan 30, 2017 #1
    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
     
  2. jcsd
  3. Jan 30, 2017 #2

    Orodruin

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    No.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Raising and lowering indices using metric quick q
Loading...