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Christoffel symbols

  1. Nov 11, 2013 #1
    1. The problem statement, all variables and given/known data

    I am learning Christoffel symbols and I want to know how to compute a surface parameterized by ##g(u,v) = (u\cos v, u \sin v, u)## by using the definition.

    2. Relevant equations

    Christoffel symbols

    3. The attempt at a solution

    Is this website http://www.math.uga.edu/~clayton/courses/660/660_4.pdf [Broken]

    on page 3 the same example as mine because I noticed the u and v are switched? Should I use that example as a reference or is it exactly like my question?
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Nov 11, 2013 #2


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    Homework Helper

    I think you should try and work it out on your own. But yes, that's essentially the same problem as yours. How much it's going to look like your solution depends on how you defined the Christoffel symbols. I'm not used to the definition in terms of the first fundamental form, so I find the middle part pretty confusing.
    Last edited by a moderator: May 6, 2017
  4. Nov 11, 2013 #3
    Thank you! The first fundamental form I can do. Thanks !
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