Usually means: Change of vector field components.
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We found 5 dictionaries that define the word Covariant derivative:

General (1 matching dictionary)
  1. Covariant derivative: Wikipedia, the Free Encyclopedia

Computing (2 matching dictionaries)
  1. covariant derivative, Covariant derivative: Encyclopedia

Science (2 matching dictionaries)
  1. Covariant Derivative: Eric Weisstein's World of Mathematics
  2. covariant derivative: PlanetMath Encyclopedia

Definitions from Wikipedia (Covariant derivative)

noun:  In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold.

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