1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    \omega = 3 dx_1 + 4x dx_2

    with the vector field

    X = 7x \frac{\partial }{\partial x_1} + 2 \frac{\partial }{\partial x_2}

    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Lie Derivative of a One-Form
  1. Lie derivative (Replies: 2)

  2. Lie Derivatives (Replies: 8)