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Geodesic deviation

  • Thread starter rbwang1225
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Homework Statement


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?

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.
 

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