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Holomorphic vector bundle

  1. Feb 24, 2012 #1
    Hi friends !!

    Let E be a holomorphic vector bundle over a complex manifold M . We identify M with the zero section of E .
    i would like to know waht's mean "" We identify M with the zero section of E ".
    thnx :)
     
  2. jcsd
  3. Feb 24, 2012 #2

    lavinia

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    For any vector bundle, the set of zero vectors across the manifold is diffeomorphic to the manifold. The map x->(x.0) maps the manifold to the zero section. It is easy to check that it is an embedding.
     
  4. Feb 24, 2012 #3

    mathwonk

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    can you show that the real numbers R are homeomorphic to the subset {0}xR of RxR?
     
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