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Mar 1 at 11:06 history edited Keeley Hoek CC BY-SA 4.0
Typo
Feb 20 at 4:59 comment added Keeley Hoek @MRJ You are right. I tried too hard to force a closed 1-form to appear (to appeal to the usual fact). I have clarified things, please let me know if you have other questions.
Feb 20 at 4:57 history edited Keeley Hoek CC BY-SA 4.0
added 111 characters in body
Feb 12 at 18:04 comment added MRJ Thanks for outlining the argument. Could you explain why $L_{2}$ is "the image of some other section $\eta (q) \colon \mathbb{R}^{n} \to T^{*} \mathbb{R}^{n}$"? For example, if $L_{2}$ is already the fibre above $0 \in T^{*} \mathbb{R}^{n}$, then it is not a section. In general, it seems possibly that $L_{2}$ could have multiple values in a some fibre of $T^{*} \mathbb{R}^{n}$.
Feb 9 at 18:51 history edited Keeley Hoek CC BY-SA 4.0
Clarified hasty writing
S Feb 8 at 23:02 review First answers
Feb 8 at 23:24
S Feb 8 at 23:02 history answered Keeley Hoek CC BY-SA 4.0