Connection (vector bundle)
LINEAR CONNECTION ON A VECTOR BUNDLE
Koszul connection; Vector bundle connection; Connection on a vector bundle
In mathematics, and especially differential geometry and gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. The most common case is that of a linear connection on a vector bundle, for which the notion of parallel transport must be linear.