# Contravariant vector

From Encyclopedia of Mathematics

The name of an element of a vector space $E$ in the case when the dual (or conjugate) space (cf. Adjoint space) $E^*$ is considered along with $E$. The elements of $E^*$ 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://www.encyclopediaofmath.org/index.php?title=Contravariant_vector&oldid=33110

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