Help!A problem about embedded surface.

  • Thread starter aquarius
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Main Question or Discussion Point

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.
 

Answers and Replies

  • #2
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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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