Covector

A covector on a vector space over a field is a linear functional

The set of all covectors on is the dual vector space. If ${e_i}$ is a basis of a finite-dimensional vector space, the dual basis ${epsilon^i}$ is characterized by . A Riemannian metric identifies vectors and covectors through the musical isomorphisms.

See also

Cotangent Vector, Dual Basis, Dual Vector Space, Linear Functional, Musical Isomorphism

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References

Spivak, M. Calculus on Manifolds. New York: Benjamin, 1965.

Cite this as:

Weisstein, Eric W. "Covector." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Covector.html

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