The Geodesics of the Torus T2
Sunday, July 17, 2016
We describe the space of geodesics trajectories of the 2-torus T2 = R2/Z2, which is not a manifold. We exhibit then its natural parasymplectic structure despite the fact that there are closed and unclosed geodesics. This parasymplectic structure turns out to be a symplectic structure when the space of geodesics is a manifold. Ref.