Here an excercise I found between old exams:(adsbygoogle = window.adsbygoogle || []).push({});

Let omega=x dx+y dy+z dz be a 1-form on R^3 and X=(x,y,z) a vectorfield.

Compute L_X(omega) as derivative of the pullback of omega under the flow generated by X.

I think the flow generated by X is (e^t,e^t,e^t), but I don't know how to proceed (computing the pullback, inserting omega en differentating at t=0.

Anyone?

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# Let omega=x dx+y dy+z dz be a 1-form

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