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Homework Help: Find an atlas and coordinates for a torus T^2 = S^1 X S^1

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data

    Find an atlas and coordinates for a torus T^2 = S^1 X S

    2. Relevant equations

    3. The attempt at a solution

    I know that an atlas on a manifold M is a collection of charts whose domains cover M, but i am not sure how to start this one mathematically.
  2. jcsd
  3. Oct 20, 2009 #2


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    Do you know how to find an atlas on a cylinder? If so, just do that then imagine gluing the ends of the cylinder together... what do you get for your charts?
  4. Oct 20, 2009 #3
    Actually, no, i don't. I get that a cylinder is S1 × [0, 1], and I think I know how to find the atlas on a circle, I just feel so lost on how to apply it on a cylinder.
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