How to find a trivialization of a torus

  • Thread starter aquarius
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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.
 

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Hint: it suffices to show that the torus has two nowhere vanishing linearly independent vector fields.
 

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