Connection (fibred manifold)
= Connection (fibred manifold)
{wiki=Connection_(fibred_manifold)}
In differential geometry, a connection on a fibred manifold is a mathematical structure that allows one to compare and analyze the tangent spaces of the fibers of the manifold, where each fiber can be thought of as a submanifold of the total manifold. Connections are critical for defining concepts such as parallel transport, curvature, and differentiation of sections of vector bundles.