Source: wikibot/parallelizable-manifold
= Parallelizable manifold
{wiki=Parallelizable_manifold}
A **parallelizable manifold** is a differentiable manifold that has a global frame of vector fields. This means there exists a set of smooth vector fields that span the tangent space at every point of the manifold, and these vector fields can be chosen to vary smoothly. In more formal terms, a manifold \\( M \\) is said to be parallelizable if there exists a smooth bundle of vector fields \\( \\\{V_1, V_2, ...