Timeline for Frobenius Theorem for subbundle of low regularity?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Jan 25, 2010 at 21:51 | history | edited | Jorge Vitório Pereira |
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| Jan 25, 2010 at 20:13 | answer | added | Richard Montgomery | timeline score: 16 | |
| Jan 22, 2010 at 2:59 | vote | accept | Zarathustra | ||
| Jan 19, 2010 at 2:47 | comment | added | Harald Hanche-Olsen | One common definition $[X,Y]f=X(Yf)-Y(Xf)$ does indeed express the bracket as a difference of second order operators. However, a look at the coordinates reveals that $[X,Y]$ can indeed be defined if $X$ and $Y$ are $C^1$ only. I suspect that Frobenius holds even in this case, but don't know for sure. | |
| Jan 19, 2010 at 2:46 | answer | added | Dmitri Panov | timeline score: 14 | |
| Jan 19, 2010 at 2:20 | comment | added | Deane Yang | I don't know the answer to this question. But why is the Lie bracket a second order operator and why does the subbundle E have to be C^2? | |
| Jan 19, 2010 at 2:13 | history | asked | Zarathustra | CC BY-SA 2.5 |