Nonvanishing section for direct sum of Mobius band

by huyichen
Tags: band, mobius, nonvanishing
huyichen is offline
Nov14-10, 05:14 PM
P: 29
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!
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quasar987 is offline
Nov15-10, 07:26 AM
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This looks mighty fine to me.

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