# Covariant differential

From Encyclopedia of Mathematics

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: http://encyclopediaofmath.org/index.php?title=Covariant_differential&oldid=18963

This article was adapted from an original article by I.Kh. Sabitov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article