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
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