In linear algebra, a one-form on a vector space's the same as a linear functional on the space. The usage of one-form in this context usually distinguishes the one-forms from higher-degree multilinear functionals on the space. For details, see linear functional. In differential geometry, a one-form on a differentiable manifold's a smooth section of the cotangent bundle. Explicitly, a one-form on a manifold M's a smooth mapping of the total space of the tangent bundle of M to R whose restriction… (More on One-form)