##  [Geodesic](/index.php/geodesic) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A curve on a manifold whose covariant acceleration with respect to a chosen affine connection (typically the Levi-Civita connection of a Riemannian metric) vanishes; equivalently, a curve that locally extremizes (usually minimizes) length or energy.