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Transoformation of vector

  1. Jul 1, 2012 #1
    consider we have n dimensional manifold,N
    at point p we can define a vector
    this vector is independent of our coordinate.

    assume we choose two chart (u,ψ) and (v,Ω) that intersection of ψ and Ω is not empty.
    in this situation, we know a vector define at p in chart (u,ψ) transforms to chart (v,Ω) with this relation
    [itex]v^μ{}[/itex]=[itex]\frac{}4{}21[/itex]
     
    Last edited: Jul 1, 2012
  2. jcsd
  3. Jul 1, 2012 #2

    HallsofIvy

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    What is your question?
     
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