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Dual vector transformation

  1. Sep 28, 2012 #1
    1. The problem statement, all variables and given/known data

    Let va be a dual vector field. Show that the quantity ∂[a vb] transforms as a type (0, 2) tensor under coordinate transformations.


    2. Relevant equations

    wu' = (dxu / dxu') wu

    3. The attempt at a solution

    My main problem is that I don't know what the brackets mean.

    I know if they weren't there it doesn't transform like a tensor because there's a second derivative when you do out the math and it's non-tensorial that way.

    Does anyone know of a good online resource that describes how to transform vectors? My textbook doesn't give very concrete examples.
     
  2. jcsd
  3. Sep 29, 2012 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    You seem to be saying that you are trying to do a problem involving "[itex]\partial_{[a }v_{b][/itex]" without knowing what it means. If so, then the first thing you should do it look it up! Where did you get this problem? If it is from a text book, it will certainly be defined in the book. If you were give this problem by an instructor, ask the instructor. That is generally better than asking other people because they may have learned definitions that differ from the one you need to use.
     
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