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Lie Derivative of a One-Form

  1. Dec 15, 2005 #1
    I'd like an example of calculating the Lie derivative of a one-form with respect to a vector field, for example, the one-form

    [tex]
    \omega = 3 dx_1 + 4x dx_2
    [/tex]

    with the vector field

    [tex]
    X = 7x \frac{\partial }{\partial x_1} + 2 \frac{\partial }{\partial x_2}
    [/tex]

    Any input would be appreciated.
     
    Last edited: Dec 15, 2005
  2. jcsd
  3. Dec 19, 2005 #2
    i am also one waiting for a reply to this post
    i have the formula to compute lie derivatives of one forms but not enough self-confidence to give an exact soln .actually i also did not understand which x do you talk about when saying 4xdx_2
    i think here in this forum people have enough knowledge to answer but i could not understand why there is no reply .Is it too simple to answer?
     
    Last edited: Dec 19, 2005
  4. Dec 19, 2005 #3
    ^No, it doesn't make any sense until an index is put on the "x" in the vector and the 1-form. After that, as you say, just use your formula for Lw
     
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