PlanetMath: covector

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covector

(Definition)

If is a vector space over a field , then a covector is a linear map $\alpha:V\to k$ , that is, and element of the dual space to . Thus, for example, a covector field on a differentiable manifold is a synonym for a 1-form.

"covector" is owned by bwebste.

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Cross-references: differentiable manifold, dual space, linear map, field, vector space
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This is version 3 of covector, born on 2002-12-10, modified 2003-09-16.
Object id is 3719, canonical name is Covector.
Accessed 5477 times total.

Classification:

15-00 (Linear and multilinear algebra; matrix theory :: General reference works )

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