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Killing Vectors of a 2-Sphere

  1. Nov 11, 2012 #1
    1. The problem statement, all variables and given/known data
    Find all killing vectors of the 2-sphere.

    2. Relevant equations
    [itex] ds^2=dθ^2+(sinθ)^2d\phi^2[/itex]

    3. The attempt at a solution
    The goal of this problem is pretty self-explanatory; however, I didn't feel that the topic of killing vectors was covered very well in my course. I was just wondering if someone knew of a site which explained how to approach this sort of problem and the steps which need to be taken. Thanks in advance!
  2. jcsd
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