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.