Difference between revisions of "Contravariant vector"
From Encyclopedia of Mathematics
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| − | The name of an element of a vector space | + | {{TEX|done}} |
| + | The name of an element of a vector space $E$ in the case when the dual (or conjugate) space (cf. [[Adjoint space|Adjoint space]]) $E^*$ is considered along with $E$. The elements of $E^*$ are then called covariant vectors (cf. [[Covariant vector|Covariant vector]]). | ||
Latest revision as of 12:09, 23 August 2014
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://encyclopediaofmath.org/index.php?title=Contravariant_vector&oldid=33110
Contravariant vector. Encyclopedia of Mathematics. URL: http://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