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Math Help - Prove the theorem.

  1. #1
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    Prove the theorem.

    Let  U=\mathbb{R} \setminus \{(0,0)\} ; let
     \omega \dfrac{-y dx + x dy}{x^2 + y^2}
    be a 1- from in U. Then  d\omega =0 ,but there is no 0- form  g on  U such that dg = \omega

    Please help!



    (***) Possible way of proving: (see the attached picture)
    Attached Thumbnails Attached Thumbnails Prove the theorem.-5.1.png  
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