Timeline for A possible obstruction for existence of limit cycle for analytic vector field on $S^2$
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 15, 2018 at 21:26 | comment | added | Ali Taghavi | @RobertBryant Thank you for your comment. | |
| Feb 15, 2018 at 9:47 | comment | added | Robert Bryant | Because $J$ is covariant constant, i.e., $\nabla J = 0$, one has $\nabla_XJX=J(\nabla_X)$, so the two conditions are the same; they both say that the integral curves of $X$ are geodesics. The only global solution on $S^2$ is $X\equiv0$. | |
| Feb 14, 2018 at 20:20 | history | asked | Ali Taghavi | CC BY-SA 3.0 |