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
Canonical name	Covector
Date of creation	2013-03-22 13:14:39
Last modified on	2013-03-22 13:14:39
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	6
Author	bwebste (988)
Entry type	Definition
Classification	msc 15-00