Contravariant vector
From Encyclopedia of Mathematics
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The name of an element of a vector space 
in the case when the dual (or conjugate) space (cf. Adjoint space) 
is considered along with 
. The elements of 
are then called covariant vectors (cf. Covariant vector).
Comments
The word "vector" or the phrase "contravariant vector" is also used to denote a vector field. Cf. also Tensor on a vector space; Contravariant tensor; Tensor bundle.
How to Cite This Entry:
Contravariant vector. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contravariant_vector&oldid=14637
Contravariant vector. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contravariant_vector&oldid=14637
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article