Covariant differential

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A generalization of the notion of a differential to fields of different geometric objects. It is a tensor -form on a manifold with values in the module of tensor fields defined by the formula

where is the covariant derivative of the field along . For detailed information, see Covariant differentiation.

How to Cite This Entry:
Covariant differential. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by I.Kh. Sabitov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article