Timeline for Finding a 1-form adapted to a smooth flow
Current License: CC BY-SA 3.0
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Jul 15, 2017 at 19:45 | comment | added | Robert Bryant | Note, however, that merely having no nonconstant first integrals is not enough to rule out the existence of an adapted $1$-form in the OP's sense. For example, the constant coefficient vector field on the torus with irrational slope has every flow line dense in the torus; hence, only the constants are first integrals, but it has an adapted $1$-form. | |
Jul 15, 2017 at 16:08 | review | First posts | |||
Jul 15, 2017 at 16:12 | |||||
Jul 15, 2017 at 16:07 | history | answered | Ludovic Rifford | CC BY-SA 3.0 |