Contravariant vector

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.