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Tangent bundle of vector space

  1. Nov 3, 2010 #1
    if we have a vector space V,can we define the tangent bundle of V rated TV?
  2. jcsd
  3. Nov 3, 2010 #2


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    A tangent bundle is defined over a manifold, not over a vector space. However, if the vector space is finite-dimensional, we can easily define a manifold structure on it, and define the tangent bundle the usual way.
  4. Nov 3, 2010 #3
    thnx this is what i need :)
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