# covector

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

Title covector Covector 2013-03-22 13:14:39 2013-03-22 13:14:39 bwebste (988) bwebste (988) 6 bwebste (988) Definition msc 15-00