Differential forms

A differential form $\omega$ is a section of the exterior algebra $\stackrel{k}{\bigwedge }{T}^{\ast }M$ of the cotangent bundle of a manifold $M$.
It can be said that a differential form is, precisely, a geometrical object on a manifold that can be integrated. See integration on Rn#Integration of forms and integration on manifolds.

They give rise to DeRham cohomology.

Important case: decomposable k-form.

Important: visualization of k-forms