Pullback (differential geometry) (source code)

= Pullback (differential geometry)
{wiki=Pullback_(differential_geometry)}

In differential geometry, a pullback is an important operation that allows you to relate the geometry of different manifolds by transferring differential forms, functions, or vector fields from one manifold to another through a smooth map. Given two smooth manifolds \\( M \\) and \\( N \\), and a smooth map \\( f: N \\to M \\), the pullback operation can be applied in various contexts, most commonly with differential forms.