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Sep 13, 2015 at 11:59 comment added QuantumTheory it is also interesting in this context, to hear your opinion on this, because in your reference, the author says that we have this coordinate system on suitabe open subsets of $M$, whereas Arnold claims the existence in the nbh of the reduced manifold (the torus)
Sep 13, 2015 at 11:49 vote accept QuantumTheory
Sep 13, 2015 at 11:47 comment added QuantumTheory thank you. I also asked another question on this topic covered in Arnold's book. mathoverflow.net/questions/218137/… . Maybe you want to take a look at it.
Sep 13, 2015 at 8:29 history answered Nicola Ciccoli CC BY-SA 3.0