| Dynamics | Geometry | |
| Time, | Arc-length, | |
| Potential, | Metric, | |
| Force, | Christoffel symbols, | |
| Trajectories | Geodesics | |
| Conserved quantities | Symmetries, killing fields | |
| Instability | Curvature |
| Dynamics | Geometry | |
| Time, | Arc-length, | |
| Potential, | Metric, | |
| Force, | Christoffel symbols, | |
| Trajectories | Geodesics | |
| Conserved quantities | Symmetries, killing fields | |
| Instability | Curvature |
