# Changes

Let $M$ be a [[differential manifold]], $E$ a [[vector bundle]] on $M$. Let $\gamma:[0,1] \to M$ be a [[smooth curve]] in $M$. Let $D/dt$ denote a [[connection along a curve|connection along]] $\gamma[itex]. The transport along [itex]\gamma</math> defined by [itex]D/dt$ maps $T_{\gamma(0)}(M)$ to the space of [[vector field along a curve|vector field]]s along $\gamma[itex], denoted in symbols as: [itex]v \mapsto \phi_t(v) (t \in [0,1])$