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How to find a trivialization of a torus

  1. Apr 30, 2009 #1
    I am confused with trivialization of a tangent bundle. Can anyone can help me solve the problem of finding a trivialization of the tangent bundle of the torus S^1*S^1 in R^4. Thanks.
  2. jcsd
  3. Apr 30, 2009 #2
    Hint: it suffices to show that the torus has two nowhere vanishing linearly independent vector fields.
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