Volume form (source code)

= Volume form
{wiki=Volume_form}

In mathematics, particularly in differential geometry and multivariable calculus, a volume form is a differential form that provides a way to define volume on a manifold. It is a useful concept in areas such as integration on manifolds and the study of geometric structures. \#\#\# Definition 1. **Differential Forms**: In the context of manifolds, a differential form of degree \\( n \\) on an \\( n \\)-dimensional manifold represents an infinitesimal volume element.