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Help!A problem about embedded surface.

  1. Apr 30, 2009 #1
    I have a parametrization of a torus T^2:t(u,v)=((2+cosu)cosv,(2+cosu)sinv,sinu). How to show that T^2 is an embedded surface in R^3? How to show that the tangent bundleT(T^2) is trivial? Thanks.
     
  2. jcsd
  3. Apr 30, 2009 #2
    There's only one way to show that's it's an embedded surface. Show it's a 1-1 immersion, and note that the torus is compact.
     
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