Timeline for Frobenius Theorem for subbundle of low regularity?
Current License: CC BY-SA 2.5
6 events
when toggle format | what | by | license | comment | |
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Jan 25, 2010 at 20:14 | comment | added | Richard Montgomery | This book of Arnol'd (and most others) has been translated into English for many years and is a wonderful book. | |
Jan 22, 2010 at 2:59 | vote | accept | Zarathustra | ||
Jan 19, 2010 at 15:30 | comment | added | Dmitri Panov | t3suji, thanks, it is a nice comment! | |
Jan 19, 2010 at 15:14 | comment | added | t3suji | It is worth mentioning that the Frobenius Theorem can always be stated in the language of differential forms by saying that if a k-form $\omega$ vanishes on the foliation, then so does $d\omega$. More explicitly, if $\omega_1,\dots,\omega_l$ is a local basis of 1-forms vanishing on the foliation, we just require $(d\omega_i)\wedge\omega_1\wedge\dots\wedge\omega_l$ for all $i$. | |
Jan 19, 2010 at 14:56 | history | edited | Dmitri Panov | CC BY-SA 2.5 |
added 1448 characters in body
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Jan 19, 2010 at 2:46 | history | answered | Dmitri Panov | CC BY-SA 2.5 |