##  [Geodesic Flow](/geodesic-flow) 

  ##  [Geodesic Flow](https://puremath.quantumdictionary.io/geodesic-flow-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The dynamical system on the tangent bundle (often restricted to the unit tangent bundle) of a Riemannian manifold whose trajectories are tangent lifts of geodesics parameterized by arc length; it evolves a footpoint and a velocity vector by following geodesic motion.