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Geodesic deviation

  1. Mar 31, 2012 #1
    1. The problem statement, all variables and given/known data
    Ants follow geodesics on a surface which is an infinite cylinder.
    Do the geodesics deviate?
    By considering only the paths of itself and its neighbors, can an ant decide whether it is on a cylinder of a plane?

    3. The attempt at a solution
    My answer to the first question is no, since the geodesic on the cylinder is a straight line(?).
    For the second question, my answer is also no, since they do not approach together or depart from each other.
    I just don't know my answers are right or wrong.
    Any comment would be appreciated.
     
  2. jcsd
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