##  [Covariant Derivative](/covariant-derivative) 

  ##  [Covariant Derivative](https://natural.quantumdictionary.io/covariant-derivative-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A linear connection that assigns to each vector field a directional derivative operator acting on tensor fields, compatible with tensor type and satisfying the Leibniz rule while compensating for changes of local bases.