- #1
carbis
- 3
- 0
Here an excercise I found between old exams:
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?
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?