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1. Homework Statement
This problem is from V.I Arnold's book Mathematics of Classical Mechanics.
Q) Show that every differential 1form on line is differential of some function
2. Homework Equations
The differential of any function is
$$df_{x}(\psi): TM_{x} \rightarrow R$$
3. The Attempt at a Solution
The tangent to line is line itself. The differential 1form is ##dydx=0##. Here I am struct. I don't know how to find out the differential. Can anyone help?
This problem is from V.I Arnold's book Mathematics of Classical Mechanics.
Q) Show that every differential 1form on line is differential of some function
2. Homework Equations
The differential of any function is
$$df_{x}(\psi): TM_{x} \rightarrow R$$
3. The Attempt at a Solution
The tangent to line is line itself. The differential 1form is ##dydx=0##. Here I am struct. I don't know how to find out the differential. Can anyone help?
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