Line in a Riemannian manifold (source code)

= Line in a Riemannian manifold
{wiki=Line_(geometry)#On_a_Riemannian_manifold}

A line is a unit-speed geodesic $\gamma:\mathbb R\to M$ that minimizes between every two of its points: $d_g(\gamma(s),\gamma(t))=|s-t|$.