Nonvanishing section for direct sum of Mobius band

  1. For a direct sum of Mobius band, it is trivial if it has two linear independent nonvanishing sections. I have the following as my sections:
    s1=(E^(i*theta), (Cos(theta/2), Sin(theta/2))
    s2=(E^(i*theta), (-Sin(theta/2), Cos(theta/2))
    Clearly, the above sections are linearly independent and nonvanishing, but I am not sure if they are indeed the correct ones, need help to confirm!
     
  2. jcsd
  3. quasar987

    quasar987 4,770
    Science Advisor
    Homework Helper
    Gold Member

    This looks mighty fine to me.
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?