Timeline for Existence of Liouville vector fields on symplectic manifolds
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 1, 2020 at 15:53 | comment | added | Pengfei | @MikeMiller Thank you! | |
| Jun 1, 2020 at 14:20 | history | edited | Pengfei | CC BY-SA 4.0 |
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| Jun 1, 2020 at 14:12 | vote | accept | Pengfei | ||
| Jun 1, 2020 at 14:11 | comment | added | mme | Given any 1-form $\alpha$, there is a vector field $V$ so that $i_V \omega = \alpha$. This is non-degeneracy. So if $\omega = d\lambda$ then the unique $V$ so that $i_V \omega = \lambda$ is Liouville. The existence of a Liouville field is equivalent to exactness. For surfaces this is equivalent to nonempty boundary. | |
| Jun 1, 2020 at 14:06 | history | edited | Pengfei | CC BY-SA 4.0 |
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| Jun 1, 2020 at 13:59 | history | edited | Pengfei | CC BY-SA 4.0 |
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| Jun 1, 2020 at 13:32 | answer | added | Ben McKay | timeline score: 2 | |
| Jun 1, 2020 at 13:26 | history | asked | Pengfei | CC BY-SA 4.0 |