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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
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Jan 19, 2010 at 2:46 history answered Dmitri Panov CC BY-SA 2.5