I am relatively new to differential geometry. I am studying it from Fecko Textbook on differential geometry. As soon as he introduces the concept of lie derivative,he asks to do exercise 4.2.2 in picture. The question is,how do I apply $\phi^*\psi$ to given function $\psi$. I know that $\phi^*$ transport fields against direction of flow. But how it does,I don't know.

Can anyone help me?enter image description here


This site is temporarily in read only mode and not accepting new answers.

Browse other questions tagged .