# Lie Derivative of a One-Form

1. Dec 15, 2005

### rick1138

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. Dec 19, 2005

### matness

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
3. Dec 19, 2005

### Mulder

^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