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Calculus on manifold

  1. Nov 5, 2012 #1
    Let [itex]L_{\theta}[/itex] be the line passing through the point [itex]z(\theta)=(\cos\theta,\sin\theta)[/itex] on the unit circle at angle [itex]\theta[/itex] and with slope [itex]\frac{1}{2}\theta[/itex]. The mobius band is [itex]M=[/itex]{[itex](z,v):z\in S^{1},v\in L_{\theta}[/itex]}

    my question is , why M is a mobius band?
  2. jcsd
  3. Nov 5, 2012 #2
    How did you define the Mobius band?
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