= Geodesics as Hamiltonian flows
{wiki=Geodesics_as_Hamiltonian_flows}
Geodesics as Hamiltonian flows refer to the representation of geodesic motion (the shortest path between points on a manifold) in the language of Hamiltonian mechanics, a framework in classical mechanics that describes the evolution of dynamical systems. \#\#\# Background Concepts 1. **Geodesics**: In differential geometry, a geodesic on a manifold is a curve that represents, locally, the shortest path between points.
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