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Math Help - Tensor Calculus Proof

  1. #1
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    Tensor Calculus Proof

    Hi, I am studying tensor calculus and I am not too familiar with tensors currently. The question I have is:

    The steps to prove that a lie derivative satisfies the usual product rule, ie it is Leibniz. Please see my attachment that shows where I am up to. It is much easier to scan this than it is to try write on a computer! I am confident I am right up to where I have marked an Astrix. From that line on I am partially confident.

    Many Thanks

    Chris
    Attached Thumbnails Attached Thumbnails Tensor Calculus Proof-img050.jpg  
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  2. #2
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    A thought!

    I just realized that the last line I left is in the form of the product rule if you take Q = YZ (with appropriate indicies... hard to write on computer). Is that all I need to prove?????

    Thanks
    Last edited by purakanui; January 16th 2011 at 05:53 PM.
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