aquarius Messages 2 Reaction score 0 Thread starter 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.
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.
zhentil Messages 484 Reaction score 0 Apr 30, 2009 #2 Hint: it suffices to show that the torus has two nowhere vanishing linearly independent vector fields.
Hint: it suffices to show that the torus has two nowhere vanishing linearly independent vector fields.