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Uniqueness of smooth structure

  1. May 21, 2014 #1
    I'm looking to prove the Global Frobenius theorem, however in order to do so I need to prove the following lemma:

    If ##D## is an involutive distribution and and ##\left\{N_\alpha\right\}## is collection of integral manifolds of ##D## with a point in common, then ##N = \cup_\alpha N_{\alpha}## has a unique smooth structure making it into connected integral manifold of ##D## in which each ##N_\alpha## is an open submanifold.

    Do you know somewhere where it is proved? Or can you help me prove it?
     
  2. jcsd
  3. Jun 26, 2014 #2
    I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
     
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